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Finding the Fourth Proportional to 10,671.86, 16,042.85 and 9,901.17

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Solution

The fourth proportional to 10,671.86, 16,042.85 and 9,901.17 is: 14,884.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,671.86 : 16,042.85 = 9,901.17 : x
  2. Step 2: Convert to fraction form
    10,671.86/16,042.85 = 9,901.17/x
  3. Step 3: Cross multiply
    10,671.86x = 16,042.85 × 9,901.17
  4. Step 4: Simplify right side
    10,671.86x = 158,842,935.63
  5. Step 5: Solve for x
    x = 158,842,935.63/10,671.86
  6. Step 6: Final answer
    x = 14,884.29

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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.