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Finding the Fourth Proportional to 16,042.86, 22,140.27 and 9,754.02

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Solution

The fourth proportional to 16,042.86, 22,140.27 and 9,754.02 is: 13,461.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,042.86 : 22,140.27 = 9,754.02 : x
  2. Step 2: Convert to fraction form
    16,042.86/22,140.27 = 9,754.02/x
  3. Step 3: Cross multiply
    16,042.86x = 22,140.27 × 9,754.02
  4. Step 4: Simplify right side
    16,042.86x = 215,956,636.39
  5. Step 5: Solve for x
    x = 215,956,636.39/16,042.86
  6. Step 6: Final answer
    x = 13,461.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.