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Finding the Fourth Proportional to 15,535.20, 21,427 and 9,865.04

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Solution

The fourth proportional to 15,535.20, 21,427 and 9,865.04 is: 13,606.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,535.20 : 21,427 = 9,865.04 : x
  2. Step 2: Convert to fraction form
    15,535.20/21,427 = 9,865.04/x
  3. Step 3: Cross multiply
    15,535.20x = 21,427 × 9,865.04
  4. Step 4: Simplify right side
    15,535.20x = 211,378,212.08
  5. Step 5: Solve for x
    x = 211,378,212.08/15,535.20
  6. Step 6: Final answer
    x = 13,606.40

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