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Finding the Fourth Proportional to 23,474.31, 32,394 and 13,402.51

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Solution

The fourth proportional to 23,474.31, 32,394 and 13,402.51 is: 18,495.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,474.31 : 32,394 = 13,402.51 : x
  2. Step 2: Convert to fraction form
    23,474.31/32,394 = 13,402.51/x
  3. Step 3: Cross multiply
    23,474.31x = 32,394 × 13,402.51
  4. Step 4: Simplify right side
    23,474.31x = 434,160,908.94
  5. Step 5: Solve for x
    x = 434,160,908.94/23,474.31
  6. Step 6: Final answer
    x = 18,495.15

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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.