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Finding the Fourth Proportional to 22,264.98, 30,712.92 and 14,712.54

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Solution

The fourth proportional to 22,264.98, 30,712.92 and 14,712.54 is: 20,294.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,264.98 : 30,712.92 = 14,712.54 : x
  2. Step 2: Convert to fraction form
    22,264.98/30,712.92 = 14,712.54/x
  3. Step 3: Cross multiply
    22,264.98x = 30,712.92 × 14,712.54
  4. Step 4: Simplify right side
    22,264.98x = 451,865,064.02
  5. Step 5: Solve for x
    x = 451,865,064.02/22,264.98
  6. Step 6: Final answer
    x = 20,294.88

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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.