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Finding the Fourth Proportional to 24,354.09, 36,527.48 and 7,711.97

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Solution

The fourth proportional to 24,354.09, 36,527.48 and 7,711.97 is: 11,566.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,354.09 : 36,527.48 = 7,711.97 : x
  2. Step 2: Convert to fraction form
    24,354.09/36,527.48 = 7,711.97/x
  3. Step 3: Cross multiply
    24,354.09x = 36,527.48 × 7,711.97
  4. Step 4: Simplify right side
    24,354.09x = 281,698,608.74
  5. Step 5: Solve for x
    x = 281,698,608.74/24,354.09
  6. Step 6: Final answer
    x = 11,566.79

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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.