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Finding the Fourth Proportional to 11,146.59, 16,740.71 and 9,812.87

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Solution

The fourth proportional to 11,146.59, 16,740.71 and 9,812.87 is: 14,737.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,146.59 : 16,740.71 = 9,812.87 : x
  2. Step 2: Convert to fraction form
    11,146.59/16,740.71 = 9,812.87/x
  3. Step 3: Cross multiply
    11,146.59x = 16,740.71 × 9,812.87
  4. Step 4: Simplify right side
    11,146.59x = 164,274,278.17
  5. Step 5: Solve for x
    x = 164,274,278.17/11,146.59
  6. Step 6: Final answer
    x = 14,737.63

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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.