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Finding the Fourth Proportional to 24,380.17, 36,566.51 and 7,738.04

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Solution

The fourth proportional to 24,380.17, 36,566.51 and 7,738.04 is: 11,605.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,380.17 : 36,566.51 = 7,738.04 : x
  2. Step 2: Convert to fraction form
    24,380.17/36,566.51 = 7,738.04/x
  3. Step 3: Cross multiply
    24,380.17x = 36,566.51 × 7,738.04
  4. Step 4: Simplify right side
    24,380.17x = 282,953,117.04
  5. Step 5: Solve for x
    x = 282,953,117.04/24,380.17
  6. Step 6: Final answer
    x = 11,605.87

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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.