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Finding the Fourth Proportional to 22,001.76, 30,355.92 and 12,569.76

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Solution

The fourth proportional to 22,001.76, 30,355.92 and 12,569.76 is: 17,342.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,001.76 : 30,355.92 = 12,569.76 : x
  2. Step 2: Convert to fraction form
    22,001.76/30,355.92 = 12,569.76/x
  3. Step 3: Cross multiply
    22,001.76x = 30,355.92 × 12,569.76
  4. Step 4: Simplify right side
    22,001.76x = 381,566,628.98
  5. Step 5: Solve for x
    x = 381,566,628.98/22,001.76
  6. Step 6: Final answer
    x = 17,342.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.