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Finding the Fourth Proportional to 16,531.80, 22,813.98 and 9,458.52

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Solution

The fourth proportional to 16,531.80, 22,813.98 and 9,458.52 is: 13,052.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,531.80 : 22,813.98 = 9,458.52 : x
  2. Step 2: Convert to fraction form
    16,531.80/22,813.98 = 9,458.52/x
  3. Step 3: Cross multiply
    16,531.80x = 22,813.98 × 9,458.52
  4. Step 4: Simplify right side
    16,531.80x = 215,786,486.11
  5. Step 5: Solve for x
    x = 215,786,486.11/16,531.80
  6. Step 6: Final answer
    x = 13,052.81

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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.