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Finding the Fourth Proportional to 14,286.50, 19,710.42 and 8,981.72

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Solution

The fourth proportional to 14,286.50, 19,710.42 and 8,981.72 is: 12,391.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,286.50 : 19,710.42 = 8,981.72 : x
  2. Step 2: Convert to fraction form
    14,286.50/19,710.42 = 8,981.72/x
  3. Step 3: Cross multiply
    14,286.50x = 19,710.42 × 8,981.72
  4. Step 4: Simplify right side
    14,286.50x = 177,033,374.97
  5. Step 5: Solve for x
    x = 177,033,374.97/14,286.50
  6. Step 6: Final answer
    x = 12,391.66

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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.