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Finding the Fourth Proportional to 24,158.56, 36,237.36 and 13,748

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Solution

The fourth proportional to 24,158.56, 36,237.36 and 13,748 is: 20,621.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,158.56 : 36,237.36 = 13,748 : x
  2. Step 2: Convert to fraction form
    24,158.56/36,237.36 = 13,748/x
  3. Step 3: Cross multiply
    24,158.56x = 36,237.36 × 13,748
  4. Step 4: Simplify right side
    24,158.56x = 498,191,225.28
  5. Step 5: Solve for x
    x = 498,191,225.28/24,158.56
  6. Step 6: Final answer
    x = 20,621.73

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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.