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Finding the Fourth Proportional to 14,378.69, 19,837.97 and 8,711.62

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Solution

The fourth proportional to 14,378.69, 19,837.97 and 8,711.62 is: 12,019.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,378.69 : 19,837.97 = 8,711.62 : x
  2. Step 2: Convert to fraction form
    14,378.69/19,837.97 = 8,711.62/x
  3. Step 3: Cross multiply
    14,378.69x = 19,837.97 × 8,711.62
  4. Step 4: Simplify right side
    14,378.69x = 172,820,812.65
  5. Step 5: Solve for x
    x = 172,820,812.65/14,378.69
  6. Step 6: Final answer
    x = 12,019.24

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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.