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Finding the Fourth Proportional to 14,866.50, 22,301.19 and 5,008.26

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Solution

The fourth proportional to 14,866.50, 22,301.19 and 5,008.26 is: 7,512.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,866.50 : 22,301.19 = 5,008.26 : x
  2. Step 2: Convert to fraction form
    14,866.50/22,301.19 = 5,008.26/x
  3. Step 3: Cross multiply
    14,866.50x = 22,301.19 × 5,008.26
  4. Step 4: Simplify right side
    14,866.50x = 111,690,157.83
  5. Step 5: Solve for x
    x = 111,690,157.83/14,866.50
  6. Step 6: Final answer
    x = 7,512.88

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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.