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Finding the Fourth Proportional to 23,462.48, 32,379.12 and 12,853.04

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Solution

The fourth proportional to 23,462.48, 32,379.12 and 12,853.04 is: 17,737.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,462.48 : 32,379.12 = 12,853.04 : x
  2. Step 2: Convert to fraction form
    23,462.48/32,379.12 = 12,853.04/x
  3. Step 3: Cross multiply
    23,462.48x = 32,379.12 × 12,853.04
  4. Step 4: Simplify right side
    23,462.48x = 416,170,124.52
  5. Step 5: Solve for x
    x = 416,170,124.52/23,462.48
  6. Step 6: Final answer
    x = 17,737.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.