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Finding the Fourth Proportional to 14,809.43, 20,437.06 and 8,095.14

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Solution

The fourth proportional to 14,809.43, 20,437.06 and 8,095.14 is: 11,171.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,809.43 : 20,437.06 = 8,095.14 : x
  2. Step 2: Convert to fraction form
    14,809.43/20,437.06 = 8,095.14/x
  3. Step 3: Cross multiply
    14,809.43x = 20,437.06 × 8,095.14
  4. Step 4: Simplify right side
    14,809.43x = 165,440,841.65
  5. Step 5: Solve for x
    x = 165,440,841.65/14,809.43
  6. Step 6: Final answer
    x = 11,171.32

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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.