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Finding the Fourth Proportional to 12,714.22, 17,544 and 7,048.92

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Solution

The fourth proportional to 12,714.22, 17,544 and 7,048.92 is: 9,726.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,714.22 : 17,544 = 7,048.92 : x
  2. Step 2: Convert to fraction form
    12,714.22/17,544 = 7,048.92/x
  3. Step 3: Cross multiply
    12,714.22x = 17,544 × 7,048.92
  4. Step 4: Simplify right side
    12,714.22x = 123,666,252.48
  5. Step 5: Solve for x
    x = 123,666,252.48/12,714.22
  6. Step 6: Final answer
    x = 9,726.61

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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.