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Finding the Fourth Proportional to 14,877.97, 20,531.42 and 8,590.21

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Solution

The fourth proportional to 14,877.97, 20,531.42 and 8,590.21 is: 11,854.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,877.97 : 20,531.42 = 8,590.21 : x
  2. Step 2: Convert to fraction form
    14,877.97/20,531.42 = 8,590.21/x
  3. Step 3: Cross multiply
    14,877.97x = 20,531.42 × 8,590.21
  4. Step 4: Simplify right side
    14,877.97x = 176,369,209.40
  5. Step 5: Solve for x
    x = 176,369,209.40/14,877.97
  6. Step 6: Final answer
    x = 11,854.39

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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.