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Finding the Fourth Proportional to 22,397.92, 33,604.16 and 10,712

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Solution

The fourth proportional to 22,397.92, 33,604.16 and 10,712 is: 16,071.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,397.92 : 33,604.16 = 10,712 : x
  2. Step 2: Convert to fraction form
    22,397.92/33,604.16 = 10,712/x
  3. Step 3: Cross multiply
    22,397.92x = 33,604.16 × 10,712
  4. Step 4: Simplify right side
    22,397.92x = 359,967,761.92
  5. Step 5: Solve for x
    x = 359,967,761.92/22,397.92
  6. Step 6: Final answer
    x = 16,071.48

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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.