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Finding the Fourth Proportional to 14,257.47, 19,675.17 and 7,884.34

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Solution

The fourth proportional to 14,257.47, 19,675.17 and 7,884.34 is: 10,880.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,257.47 : 19,675.17 = 7,884.34 : x
  2. Step 2: Convert to fraction form
    14,257.47/19,675.17 = 7,884.34/x
  3. Step 3: Cross multiply
    14,257.47x = 19,675.17 × 7,884.34
  4. Step 4: Simplify right side
    14,257.47x = 155,125,680.65
  5. Step 5: Solve for x
    x = 155,125,680.65/14,257.47
  6. Step 6: Final answer
    x = 10,880.31

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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.