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Finding the Fourth Proportional to 24,134.32, 36,202.20 and 9,138.16

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Solution

The fourth proportional to 24,134.32, 36,202.20 and 9,138.16 is: 13,707.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,134.32 : 36,202.20 = 9,138.16 : x
  2. Step 2: Convert to fraction form
    24,134.32/36,202.20 = 9,138.16/x
  3. Step 3: Cross multiply
    24,134.32x = 36,202.20 × 9,138.16
  4. Step 4: Simplify right side
    24,134.32x = 330,821,495.95
  5. Step 5: Solve for x
    x = 330,821,495.95/24,134.32
  6. Step 6: Final answer
    x = 13,707.51

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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.