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Finding the Fourth Proportional to 25,841.49, 38,762.13 and 9,202.17

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Solution

The fourth proportional to 25,841.49, 38,762.13 and 9,202.17 is: 13,803.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,841.49 : 38,762.13 = 9,202.17 : x
  2. Step 2: Convert to fraction form
    25,841.49/38,762.13 = 9,202.17/x
  3. Step 3: Cross multiply
    25,841.49x = 38,762.13 × 9,202.17
  4. Step 4: Simplify right side
    25,841.49x = 356,695,709.82
  5. Step 5: Solve for x
    x = 356,695,709.82/25,841.49
  6. Step 6: Final answer
    x = 13,803.22

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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.