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Finding the Fourth Proportional to 13,400.91, 18,492.38 and 7,432.17

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Solution

The fourth proportional to 13,400.91, 18,492.38 and 7,432.17 is: 10,255.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,400.91 : 18,492.38 = 7,432.17 : x
  2. Step 2: Convert to fraction form
    13,400.91/18,492.38 = 7,432.17/x
  3. Step 3: Cross multiply
    13,400.91x = 18,492.38 × 7,432.17
  4. Step 4: Simplify right side
    13,400.91x = 137,438,433.23
  5. Step 5: Solve for x
    x = 137,438,433.23/13,400.91
  6. Step 6: Final answer
    x = 10,255.90

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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.