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Finding the Fourth Proportional to 24,527.44, 36,758.34 and 14,000.68

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Solution

The fourth proportional to 24,527.44, 36,758.34 and 14,000.68 is: 20,982.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,527.44 : 36,758.34 = 14,000.68 : x
  2. Step 2: Convert to fraction form
    24,527.44/36,758.34 = 14,000.68/x
  3. Step 3: Cross multiply
    24,527.44x = 36,758.34 × 14,000.68
  4. Step 4: Simplify right side
    24,527.44x = 514,641,755.67
  5. Step 5: Solve for x
    x = 514,641,755.67/24,527.44
  6. Step 6: Final answer
    x = 20,982.29

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