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Finding the Fourth Proportional to 14,687.39, 20,267.89 and 7,972.83

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Solution

The fourth proportional to 14,687.39, 20,267.89 and 7,972.83 is: 11,002.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,687.39 : 20,267.89 = 7,972.83 : x
  2. Step 2: Convert to fraction form
    14,687.39/20,267.89 = 7,972.83/x
  3. Step 3: Cross multiply
    14,687.39x = 20,267.89 × 7,972.83
  4. Step 4: Simplify right side
    14,687.39x = 161,592,421.50
  5. Step 5: Solve for x
    x = 161,592,421.50/14,687.39
  6. Step 6: Final answer
    x = 11,002.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.