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Finding the Fourth Proportional to 14,477.38, 19,979.74 and 8,104.56

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Solution

The fourth proportional to 14,477.38, 19,979.74 and 8,104.56 is: 11,184.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,477.38 : 19,979.74 = 8,104.56 : x
  2. Step 2: Convert to fraction form
    14,477.38/19,979.74 = 8,104.56/x
  3. Step 3: Cross multiply
    14,477.38x = 19,979.74 × 8,104.56
  4. Step 4: Simplify right side
    14,477.38x = 161,927,001.61
  5. Step 5: Solve for x
    x = 161,927,001.61/14,477.38
  6. Step 6: Final answer
    x = 11,184.83

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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.