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Finding the Fourth Proportional to 12,327.76, 18,492.40 and 4,542

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Solution

The fourth proportional to 12,327.76, 18,492.40 and 4,542 is: 6,813.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,327.76 : 18,492.40 = 4,542 : x
  2. Step 2: Convert to fraction form
    12,327.76/18,492.40 = 4,542/x
  3. Step 3: Cross multiply
    12,327.76x = 18,492.40 × 4,542
  4. Step 4: Simplify right side
    12,327.76x = 83,992,480.80
  5. Step 5: Solve for x
    x = 83,992,480.80/12,327.76
  6. Step 6: Final answer
    x = 6,813.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.