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Finding the Fourth Proportional to 14,143.67, 19,522.84 and 10,176.31

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Solution

The fourth proportional to 14,143.67, 19,522.84 and 10,176.31 is: 14,046.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,143.67 : 19,522.84 = 10,176.31 : x
  2. Step 2: Convert to fraction form
    14,143.67/19,522.84 = 10,176.31/x
  3. Step 3: Cross multiply
    14,143.67x = 19,522.84 × 10,176.31
  4. Step 4: Simplify right side
    14,143.67x = 198,670,471.92
  5. Step 5: Solve for x
    x = 198,670,471.92/14,143.67
  6. Step 6: Final answer
    x = 14,046.60

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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.