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Finding the Fourth Proportional to 24,703.92, 37,044 and 11,545.20

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Solution

The fourth proportional to 24,703.92, 37,044 and 11,545.20 is: 17,312.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,703.92 : 37,044 = 11,545.20 : x
  2. Step 2: Convert to fraction form
    24,703.92/37,044 = 11,545.20/x
  3. Step 3: Cross multiply
    24,703.92x = 37,044 × 11,545.20
  4. Step 4: Simplify right side
    24,703.92x = 427,680,388.80
  5. Step 5: Solve for x
    x = 427,680,388.80/24,703.92
  6. Step 6: Final answer
    x = 17,312.25

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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.