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Finding the Fourth Proportional to 23,472.38, 32,391.19 and 13,400.54

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Solution

The fourth proportional to 23,472.38, 32,391.19 and 13,400.54 is: 18,492.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,472.38 : 32,391.19 = 13,400.54 : x
  2. Step 2: Convert to fraction form
    23,472.38/32,391.19 = 13,400.54/x
  3. Step 3: Cross multiply
    23,472.38x = 32,391.19 × 13,400.54
  4. Step 4: Simplify right side
    23,472.38x = 434,059,413.50
  5. Step 5: Solve for x
    x = 434,059,413.50/23,472.38
  6. Step 6: Final answer
    x = 18,492.35

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Why These Related Problems?

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