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Finding the Fourth Proportional to 24,315.59, 36,489.80 and 9,522.66

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Solution

The fourth proportional to 24,315.59, 36,489.80 and 9,522.66 is: 14,290.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,315.59 : 36,489.80 = 9,522.66 : x
  2. Step 2: Convert to fraction form
    24,315.59/36,489.80 = 9,522.66/x
  3. Step 3: Cross multiply
    24,315.59x = 36,489.80 × 9,522.66
  4. Step 4: Simplify right side
    24,315.59x = 347,479,958.87
  5. Step 5: Solve for x
    x = 347,479,958.87/24,315.59
  6. Step 6: Final answer
    x = 14,290.42

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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.