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Finding the Fourth Proportional to 13,400.86, 18,492.55 and 7,432.40

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Solution

The fourth proportional to 13,400.86, 18,492.55 and 7,432.40 is: 10,256.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,400.86 : 18,492.55 = 7,432.40 : x
  2. Step 2: Convert to fraction form
    13,400.86/18,492.55 = 7,432.40/x
  3. Step 3: Cross multiply
    13,400.86x = 18,492.55 × 7,432.40
  4. Step 4: Simplify right side
    13,400.86x = 137,444,028.62
  5. Step 5: Solve for x
    x = 137,444,028.62/13,400.86
  6. Step 6: Final answer
    x = 10,256.36

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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.