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Finding the Fourth Proportional to 24,697.32, 34,083.10 and 13,519.32

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Solution

The fourth proportional to 24,697.32, 34,083.10 and 13,519.32 is: 18,657.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,697.32 : 34,083.10 = 13,519.32 : x
  2. Step 2: Convert to fraction form
    24,697.32/34,083.10 = 13,519.32/x
  3. Step 3: Cross multiply
    24,697.32x = 34,083.10 × 13,519.32
  4. Step 4: Simplify right side
    24,697.32x = 460,780,335.49
  5. Step 5: Solve for x
    x = 460,780,335.49/24,697.32
  6. Step 6: Final answer
    x = 18,657.10

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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.