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Finding the Fourth Proportional to 13,400.71, 18,492.98 and 7,432.43

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Solution

The fourth proportional to 13,400.71, 18,492.98 and 7,432.43 is: 10,256.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,400.71 : 18,492.98 = 7,432.43 : x
  2. Step 2: Convert to fraction form
    13,400.71/18,492.98 = 7,432.43/x
  3. Step 3: Cross multiply
    13,400.71x = 18,492.98 × 7,432.43
  4. Step 4: Simplify right side
    13,400.71x = 137,447,649.71
  5. Step 5: Solve for x
    x = 137,447,649.71/13,400.71
  6. Step 6: Final answer
    x = 10,256.75

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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.