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Finding the Fourth Proportional to 24,146.16, 36,238.95 and 12,462.72

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Solution

The fourth proportional to 24,146.16, 36,238.95 and 12,462.72 is: 18,704.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,146.16 : 36,238.95 = 12,462.72 : x
  2. Step 2: Convert to fraction form
    24,146.16/36,238.95 = 12,462.72/x
  3. Step 3: Cross multiply
    24,146.16x = 36,238.95 × 12,462.72
  4. Step 4: Simplify right side
    24,146.16x = 451,635,886.94
  5. Step 5: Solve for x
    x = 451,635,886.94/24,146.16
  6. Step 6: Final answer
    x = 18,704.25

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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.