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Finding the Fourth Proportional to 22,710.71, 34,066.08 and 10,216.14

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Solution

The fourth proportional to 22,710.71, 34,066.08 and 10,216.14 is: 15,324.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,710.71 : 34,066.08 = 10,216.14 : x
  2. Step 2: Convert to fraction form
    22,710.71/34,066.08 = 10,216.14/x
  3. Step 3: Cross multiply
    22,710.71x = 34,066.08 × 10,216.14
  4. Step 4: Simplify right side
    22,710.71x = 348,023,842.53
  5. Step 5: Solve for x
    x = 348,023,842.53/22,710.71
  6. Step 6: Final answer
    x = 15,324.22

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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.