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Finding the Fourth Proportional to 24,733, 37,089.78 and 9,139.96

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Solution

The fourth proportional to 24,733, 37,089.78 and 9,139.96 is: 13,706.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,733 : 37,089.78 = 9,139.96 : x
  2. Step 2: Convert to fraction form
    24,733/37,089.78 = 9,139.96/x
  3. Step 3: Cross multiply
    24,733x = 37,089.78 × 9,139.96
  4. Step 4: Simplify right side
    24,733x = 338,999,105.61
  5. Step 5: Solve for x
    x = 338,999,105.61/24,733
  6. Step 6: Final answer
    x = 13,706.35

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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.