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Finding the Fourth Proportional to 19,714.88, 29,564.16 and 8,020.16

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Solution

The fourth proportional to 19,714.88, 29,564.16 and 8,020.16 is: 12,026.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,714.88 : 29,564.16 = 8,020.16 : x
  2. Step 2: Convert to fraction form
    19,714.88/29,564.16 = 8,020.16/x
  3. Step 3: Cross multiply
    19,714.88x = 29,564.16 × 8,020.16
  4. Step 4: Simplify right side
    19,714.88x = 237,109,293.47
  5. Step 5: Solve for x
    x = 237,109,293.47/19,714.88
  6. Step 6: Final answer
    x = 12,026.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.