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Finding the Fourth Proportional to 13,588.16, 20,385.88 and 5,686.50

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Solution

The fourth proportional to 13,588.16, 20,385.88 and 5,686.50 is: 8,531.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,588.16 : 20,385.88 = 5,686.50 : x
  2. Step 2: Convert to fraction form
    13,588.16/20,385.88 = 5,686.50/x
  3. Step 3: Cross multiply
    13,588.16x = 20,385.88 × 5,686.50
  4. Step 4: Simplify right side
    13,588.16x = 115,924,306.62
  5. Step 5: Solve for x
    x = 115,924,306.62/13,588.16
  6. Step 6: Final answer
    x = 8,531.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.