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Finding the Fourth Proportional to 14,175.16, 19,562.15 and 7,801.97

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Solution

The fourth proportional to 14,175.16, 19,562.15 and 7,801.97 is: 10,766.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,175.16 : 19,562.15 = 7,801.97 : x
  2. Step 2: Convert to fraction form
    14,175.16/19,562.15 = 7,801.97/x
  3. Step 3: Cross multiply
    14,175.16x = 19,562.15 × 7,801.97
  4. Step 4: Simplify right side
    14,175.16x = 152,623,229.13
  5. Step 5: Solve for x
    x = 152,623,229.13/14,175.16
  6. Step 6: Final answer
    x = 10,766.95

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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.