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Finding the Fourth Proportional to 15,714.65, 21,686.38 and 8,641.13

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Solution

The fourth proportional to 15,714.65, 21,686.38 and 8,641.13 is: 11,924.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,714.65 : 21,686.38 = 8,641.13 : x
  2. Step 2: Convert to fraction form
    15,714.65/21,686.38 = 8,641.13/x
  3. Step 3: Cross multiply
    15,714.65x = 21,686.38 × 8,641.13
  4. Step 4: Simplify right side
    15,714.65x = 187,394,698.77
  5. Step 5: Solve for x
    x = 187,394,698.77/15,714.65
  6. Step 6: Final answer
    x = 11,924.84

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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.