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Finding the Fourth Proportional to 24,340.32, 33,589.68 and 13,162.32

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Solution

The fourth proportional to 24,340.32, 33,589.68 and 13,162.32 is: 18,164.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,340.32 : 33,589.68 = 13,162.32 : x
  2. Step 2: Convert to fraction form
    24,340.32/33,589.68 = 13,162.32/x
  3. Step 3: Cross multiply
    24,340.32x = 33,589.68 × 13,162.32
  4. Step 4: Simplify right side
    24,340.32x = 442,118,116.86
  5. Step 5: Solve for x
    x = 442,118,116.86/24,340.32
  6. Step 6: Final answer
    x = 18,164.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.