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Finding the Fourth Proportional to 19,714.57, 29,545.93 and 8,021.41

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Solution

The fourth proportional to 19,714.57, 29,545.93 and 8,021.41 is: 12,021.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,714.57 : 29,545.93 = 8,021.41 : x
  2. Step 2: Convert to fraction form
    19,714.57/29,545.93 = 8,021.41/x
  3. Step 3: Cross multiply
    19,714.57x = 29,545.93 × 8,021.41
  4. Step 4: Simplify right side
    19,714.57x = 237,000,018.36
  5. Step 5: Solve for x
    x = 237,000,018.36/19,714.57
  6. Step 6: Final answer
    x = 12,021.57

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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.