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Finding the Fourth Proportional to 12,344.92, 18,474.31 and 10,097.77

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Solution

The fourth proportional to 12,344.92, 18,474.31 and 10,097.77 is: 15,111.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,344.92 : 18,474.31 = 10,097.77 : x
  2. Step 2: Convert to fraction form
    12,344.92/18,474.31 = 10,097.77/x
  3. Step 3: Cross multiply
    12,344.92x = 18,474.31 × 10,097.77
  4. Step 4: Simplify right side
    12,344.92x = 186,549,333.29
  5. Step 5: Solve for x
    x = 186,549,333.29/12,344.92
  6. Step 6: Final answer
    x = 15,111.43

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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.