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Finding the Fourth Proportional to 24,100.61, 36,154.42 and 7,461.92

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Solution

The fourth proportional to 24,100.61, 36,154.42 and 7,461.92 is: 11,193.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,100.61 : 36,154.42 = 7,461.92 : x
  2. Step 2: Convert to fraction form
    24,100.61/36,154.42 = 7,461.92/x
  3. Step 3: Cross multiply
    24,100.61x = 36,154.42 × 7,461.92
  4. Step 4: Simplify right side
    24,100.61x = 269,781,461.42
  5. Step 5: Solve for x
    x = 269,781,461.42/24,100.61
  6. Step 6: Final answer
    x = 11,193.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.