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Finding the Fourth Proportional to 12,176.55, 18,266.31 and 3,854.34

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Solution

The fourth proportional to 12,176.55, 18,266.31 and 3,854.34 is: 5,781.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,176.55 : 18,266.31 = 3,854.34 : x
  2. Step 2: Convert to fraction form
    12,176.55/18,266.31 = 3,854.34/x
  3. Step 3: Cross multiply
    12,176.55x = 18,266.31 × 3,854.34
  4. Step 4: Simplify right side
    12,176.55x = 70,404,569.29
  5. Step 5: Solve for x
    x = 70,404,569.29/12,176.55
  6. Step 6: Final answer
    x = 5,781.98

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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.