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Finding the Fourth Proportional to 24,527.88, 36,766.24 and 11,369.40

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Solution

The fourth proportional to 24,527.88, 36,766.24 and 11,369.40 is: 17,042.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,527.88 : 36,766.24 = 11,369.40 : x
  2. Step 2: Convert to fraction form
    24,527.88/36,766.24 = 11,369.40/x
  3. Step 3: Cross multiply
    24,527.88x = 36,766.24 × 11,369.40
  4. Step 4: Simplify right side
    24,527.88x = 418,010,089.06
  5. Step 5: Solve for x
    x = 418,010,089.06/24,527.88
  6. Step 6: Final answer
    x = 17,042.24

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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.