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Finding the Fourth Proportional to 14,159.44, 19,539.97 and 7,871.82

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Solution

The fourth proportional to 14,159.44, 19,539.97 and 7,871.82 is: 10,863.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,159.44 : 19,539.97 = 7,871.82 : x
  2. Step 2: Convert to fraction form
    14,159.44/19,539.97 = 7,871.82/x
  3. Step 3: Cross multiply
    14,159.44x = 19,539.97 × 7,871.82
  4. Step 4: Simplify right side
    14,159.44x = 153,815,126.65
  5. Step 5: Solve for x
    x = 153,815,126.65/14,159.44
  6. Step 6: Final answer
    x = 10,863.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.