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Finding the Fourth Proportional to 16,042.92, 24,058.62 and 6,177.24

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Solution

The fourth proportional to 16,042.92, 24,058.62 and 6,177.24 is: 9,263.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,042.92 : 24,058.62 = 6,177.24 : x
  2. Step 2: Convert to fraction form
    16,042.92/24,058.62 = 6,177.24/x
  3. Step 3: Cross multiply
    16,042.92x = 24,058.62 × 6,177.24
  4. Step 4: Simplify right side
    16,042.92x = 148,615,869.81
  5. Step 5: Solve for x
    x = 148,615,869.81/16,042.92
  6. Step 6: Final answer
    x = 9,263.64

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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.