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Finding the Fourth Proportional to 24,314.96, 36,488.86 and 9,522.03

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Solution

The fourth proportional to 24,314.96, 36,488.86 and 9,522.03 is: 14,289.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,314.96 : 36,488.86 = 9,522.03 : x
  2. Step 2: Convert to fraction form
    24,314.96/36,488.86 = 9,522.03/x
  3. Step 3: Cross multiply
    24,314.96x = 36,488.86 × 9,522.03
  4. Step 4: Simplify right side
    24,314.96x = 347,448,132.61
  5. Step 5: Solve for x
    x = 347,448,132.61/24,314.96
  6. Step 6: Final answer
    x = 14,289.48

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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.