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Finding the Fourth Proportional to 21,886.16, 32,824.44 and 6,300.40

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Solution

The fourth proportional to 21,886.16, 32,824.44 and 6,300.40 is: 9,449.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,886.16 : 32,824.44 = 6,300.40 : x
  2. Step 2: Convert to fraction form
    21,886.16/32,824.44 = 6,300.40/x
  3. Step 3: Cross multiply
    21,886.16x = 32,824.44 × 6,300.40
  4. Step 4: Simplify right side
    21,886.16x = 206,807,101.78
  5. Step 5: Solve for x
    x = 206,807,101.78/21,886.16
  6. Step 6: Final answer
    x = 9,449.22

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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.