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Finding the Fourth Proportional to 23,472.31, 32,391.25 and 13,400.51

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Solution

The fourth proportional to 23,472.31, 32,391.25 and 13,400.51 is: 18,492.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,472.31 : 32,391.25 = 13,400.51 : x
  2. Step 2: Convert to fraction form
    23,472.31/32,391.25 = 13,400.51/x
  3. Step 3: Cross multiply
    23,472.31x = 32,391.25 × 13,400.51
  4. Step 4: Simplify right side
    23,472.31x = 434,059,202.53
  5. Step 5: Solve for x
    x = 434,059,202.53/23,472.31
  6. Step 6: Final answer
    x = 18,492.40

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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.