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Finding the Fourth Proportional to 14,761.14, 20,358.86 and 9,456.45

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Solution

The fourth proportional to 14,761.14, 20,358.86 and 9,456.45 is: 13,042.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,761.14 : 20,358.86 = 9,456.45 : x
  2. Step 2: Convert to fraction form
    14,761.14/20,358.86 = 9,456.45/x
  3. Step 3: Cross multiply
    14,761.14x = 20,358.86 × 9,456.45
  4. Step 4: Simplify right side
    14,761.14x = 192,522,494.36
  5. Step 5: Solve for x
    x = 192,522,494.36/14,761.14
  6. Step 6: Final answer
    x = 13,042.52

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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.