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Finding the Fourth Proportional to 24,159.56, 36,238.86 and 13,749

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Solution

The fourth proportional to 24,159.56, 36,238.86 and 13,749 is: 20,623.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,159.56 : 36,238.86 = 13,749 : x
  2. Step 2: Convert to fraction form
    24,159.56/36,238.86 = 13,749/x
  3. Step 3: Cross multiply
    24,159.56x = 36,238.86 × 13,749
  4. Step 4: Simplify right side
    24,159.56x = 498,248,086.14
  5. Step 5: Solve for x
    x = 498,248,086.14/24,159.56
  6. Step 6: Final answer
    x = 20,623.23

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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.