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Finding the Fourth Proportional to 25,542.16, 38,309.16 and 13,071.40

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Solution

The fourth proportional to 25,542.16, 38,309.16 and 13,071.40 is: 19,605.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,542.16 : 38,309.16 = 13,071.40 : x
  2. Step 2: Convert to fraction form
    25,542.16/38,309.16 = 13,071.40/x
  3. Step 3: Cross multiply
    25,542.16x = 38,309.16 × 13,071.40
  4. Step 4: Simplify right side
    25,542.16x = 500,754,354.02
  5. Step 5: Solve for x
    x = 500,754,354.02/25,542.16
  6. Step 6: Final answer
    x = 19,605.01

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