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Finding the Fourth Proportional to 14,142.61, 19,517.12 and 8,174.53

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Solution

The fourth proportional to 14,142.61, 19,517.12 and 8,174.53 is: 11,281.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,142.61 : 19,517.12 = 8,174.53 : x
  2. Step 2: Convert to fraction form
    14,142.61/19,517.12 = 8,174.53/x
  3. Step 3: Cross multiply
    14,142.61x = 19,517.12 × 8,174.53
  4. Step 4: Simplify right side
    14,142.61x = 159,543,282.95
  5. Step 5: Solve for x
    x = 159,543,282.95/14,142.61
  6. Step 6: Final answer
    x = 11,281.04

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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.