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Finding the Fourth Proportional to 11,534.03, 15,924.32 and 9,414.62

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Solution

The fourth proportional to 11,534.03, 15,924.32 and 9,414.62 is: 12,998.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,534.03 : 15,924.32 = 9,414.62 : x
  2. Step 2: Convert to fraction form
    11,534.03/15,924.32 = 9,414.62/x
  3. Step 3: Cross multiply
    11,534.03x = 15,924.32 × 9,414.62
  4. Step 4: Simplify right side
    11,534.03x = 149,921,393.97
  5. Step 5: Solve for x
    x = 149,921,393.97/11,534.03
  6. Step 6: Final answer
    x = 12,998.18

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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.