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Finding the Fourth Proportional to 22,097.84, 30,489.92 and 16,132.72

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Solution

The fourth proportional to 22,097.84, 30,489.92 and 16,132.72 is: 22,259.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,097.84 : 30,489.92 = 16,132.72 : x
  2. Step 2: Convert to fraction form
    22,097.84/30,489.92 = 16,132.72/x
  3. Step 3: Cross multiply
    22,097.84x = 30,489.92 × 16,132.72
  4. Step 4: Simplify right side
    22,097.84x = 491,885,342.18
  5. Step 5: Solve for x
    x = 491,885,342.18/22,097.84
  6. Step 6: Final answer
    x = 22,259.43

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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.