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Finding the Fourth Proportional to 23,470.31, 32,391.74 and 13,400.19

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Solution

The fourth proportional to 23,470.31, 32,391.74 and 13,400.19 is: 18,493.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,470.31 : 32,391.74 = 13,400.19 : x
  2. Step 2: Convert to fraction form
    23,470.31/32,391.74 = 13,400.19/x
  3. Step 3: Cross multiply
    23,470.31x = 32,391.74 × 13,400.19
  4. Step 4: Simplify right side
    23,470.31x = 434,055,503.93
  5. Step 5: Solve for x
    x = 434,055,503.93/23,470.31
  6. Step 6: Final answer
    x = 18,493.81

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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.