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Finding the Fourth Proportional to 34,381.86, 51,580.85 and 10,688.17

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Solution

The fourth proportional to 34,381.86, 51,580.85 and 10,688.17 is: 16,034.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,381.86 : 51,580.85 = 10,688.17 : x
  2. Step 2: Convert to fraction form
    34,381.86/51,580.85 = 10,688.17/x
  3. Step 3: Cross multiply
    34,381.86x = 51,580.85 × 10,688.17
  4. Step 4: Simplify right side
    34,381.86x = 551,304,893.54
  5. Step 5: Solve for x
    x = 551,304,893.54/34,381.86
  6. Step 6: Final answer
    x = 16,034.76

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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.