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Finding the Fourth Proportional to 21,698.40, 32,547.60 and 7,844.16

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Solution

The fourth proportional to 21,698.40, 32,547.60 and 7,844.16 is: 11,766.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,698.40 : 32,547.60 = 7,844.16 : x
  2. Step 2: Convert to fraction form
    21,698.40/32,547.60 = 7,844.16/x
  3. Step 3: Cross multiply
    21,698.40x = 32,547.60 × 7,844.16
  4. Step 4: Simplify right side
    21,698.40x = 255,308,582.02
  5. Step 5: Solve for x
    x = 255,308,582.02/21,698.40
  6. Step 6: Final answer
    x = 11,766.24

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.