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Finding the Fourth Proportional to 14,160.94, 19,542.13 and 7,874.53

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Solution

The fourth proportional to 14,160.94, 19,542.13 and 7,874.53 is: 10,866.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,160.94 : 19,542.13 = 7,874.53 : x
  2. Step 2: Convert to fraction form
    14,160.94/19,542.13 = 7,874.53/x
  3. Step 3: Cross multiply
    14,160.94x = 19,542.13 × 7,874.53
  4. Step 4: Simplify right side
    14,160.94x = 153,885,020.41
  5. Step 5: Solve for x
    x = 153,885,020.41/14,160.94
  6. Step 6: Final answer
    x = 10,866.87

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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.