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Finding the Fourth Proportional to 14,778.54, 20,386.79 and 9,998.69

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Solution

The fourth proportional to 14,778.54, 20,386.79 and 9,998.69 is: 13,793.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,778.54 : 20,386.79 = 9,998.69 : x
  2. Step 2: Convert to fraction form
    14,778.54/20,386.79 = 9,998.69/x
  3. Step 3: Cross multiply
    14,778.54x = 20,386.79 × 9,998.69
  4. Step 4: Simplify right side
    14,778.54x = 203,841,041.38
  5. Step 5: Solve for x
    x = 203,841,041.38/14,778.54
  6. Step 6: Final answer
    x = 13,793.04

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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.