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Finding the Fourth Proportional to 24,139.42, 36,202.21 and 8,340.32

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Solution

The fourth proportional to 24,139.42, 36,202.21 and 8,340.32 is: 12,508.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,139.42 : 36,202.21 = 8,340.32 : x
  2. Step 2: Convert to fraction form
    24,139.42/36,202.21 = 8,340.32/x
  3. Step 3: Cross multiply
    24,139.42x = 36,202.21 × 8,340.32
  4. Step 4: Simplify right side
    24,139.42x = 301,937,835.10
  5. Step 5: Solve for x
    x = 301,937,835.10/24,139.42
  6. Step 6: Final answer
    x = 12,508.08

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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.