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Finding the Fourth Proportional to 14,686.38, 20,267.24 and 7,972.01

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Solution

The fourth proportional to 14,686.38, 20,267.24 and 7,972.01 is: 11,001.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,686.38 : 20,267.24 = 7,972.01 : x
  2. Step 2: Convert to fraction form
    14,686.38/20,267.24 = 7,972.01/x
  3. Step 3: Cross multiply
    14,686.38x = 20,267.24 × 7,972.01
  4. Step 4: Simplify right side
    14,686.38x = 161,570,538.62
  5. Step 5: Solve for x
    x = 161,570,538.62/14,686.38
  6. Step 6: Final answer
    x = 11,001.39

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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.