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Finding the Fourth Proportional to 13,909.50, 20,866.88 and 5,590.17

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Solution

The fourth proportional to 13,909.50, 20,866.88 and 5,590.17 is: 8,386.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,909.50 : 20,866.88 = 5,590.17 : x
  2. Step 2: Convert to fraction form
    13,909.50/20,866.88 = 5,590.17/x
  3. Step 3: Cross multiply
    13,909.50x = 20,866.88 × 5,590.17
  4. Step 4: Simplify right side
    13,909.50x = 116,649,420.55
  5. Step 5: Solve for x
    x = 116,649,420.55/13,909.50
  6. Step 6: Final answer
    x = 8,386.31

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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.