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Finding the Fourth Proportional to 22,543.96, 31,097.10 and 16,591

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Solution

The fourth proportional to 22,543.96, 31,097.10 and 16,591 is: 22,885.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,543.96 : 31,097.10 = 16,591 : x
  2. Step 2: Convert to fraction form
    22,543.96/31,097.10 = 16,591/x
  3. Step 3: Cross multiply
    22,543.96x = 31,097.10 × 16,591
  4. Step 4: Simplify right side
    22,543.96x = 515,931,986.10
  5. Step 5: Solve for x
    x = 515,931,986.10/22,543.96
  6. Step 6: Final answer
    x = 22,885.60

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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.