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Finding the Fourth Proportional to 16,138.29, 24,207.30 and 9,559.74

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Solution

The fourth proportional to 16,138.29, 24,207.30 and 9,559.74 is: 14,339.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,138.29 : 24,207.30 = 9,559.74 : x
  2. Step 2: Convert to fraction form
    16,138.29/24,207.30 = 9,559.74/x
  3. Step 3: Cross multiply
    16,138.29x = 24,207.30 × 9,559.74
  4. Step 4: Simplify right side
    16,138.29x = 231,415,494.10
  5. Step 5: Solve for x
    x = 231,415,494.10/16,138.29
  6. Step 6: Final answer
    x = 14,339.53

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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.