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Finding the Fourth Proportional to 14,677.10, 21,978.06 and 8,095.97

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Solution

The fourth proportional to 14,677.10, 21,978.06 and 8,095.97 is: 12,123.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,677.10 : 21,978.06 = 8,095.97 : x
  2. Step 2: Convert to fraction form
    14,677.10/21,978.06 = 8,095.97/x
  3. Step 3: Cross multiply
    14,677.10x = 21,978.06 × 8,095.97
  4. Step 4: Simplify right side
    14,677.10x = 177,933,714.42
  5. Step 5: Solve for x
    x = 177,933,714.42/14,677.10
  6. Step 6: Final answer
    x = 12,123.22

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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.