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Finding the Fourth Proportional to 24,409.12, 36,589.04 and 9,612.30

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Solution

The fourth proportional to 24,409.12, 36,589.04 and 9,612.30 is: 14,408.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,409.12 : 36,589.04 = 9,612.30 : x
  2. Step 2: Convert to fraction form
    24,409.12/36,589.04 = 9,612.30/x
  3. Step 3: Cross multiply
    24,409.12x = 36,589.04 × 9,612.30
  4. Step 4: Simplify right side
    24,409.12x = 351,704,829.19
  5. Step 5: Solve for x
    x = 351,704,829.19/24,409.12
  6. Step 6: Final answer
    x = 14,408.75

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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.