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Finding the Fourth Proportional to 23,643.25, 32,627.22 and 12,888.21

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Solution

The fourth proportional to 23,643.25, 32,627.22 and 12,888.21 is: 17,785.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,643.25 : 32,627.22 = 12,888.21 : x
  2. Step 2: Convert to fraction form
    23,643.25/32,627.22 = 12,888.21/x
  3. Step 3: Cross multiply
    23,643.25x = 32,627.22 × 12,888.21
  4. Step 4: Simplify right side
    23,643.25x = 420,506,463.08
  5. Step 5: Solve for x
    x = 420,506,463.08/23,643.25
  6. Step 6: Final answer
    x = 17,785.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.