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Finding the Fourth Proportional to 14,638.19, 20,200.69 and 7,923.87

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Solution

The fourth proportional to 14,638.19, 20,200.69 and 7,923.87 is: 10,934.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,638.19 : 20,200.69 = 7,923.87 : x
  2. Step 2: Convert to fraction form
    14,638.19/20,200.69 = 7,923.87/x
  3. Step 3: Cross multiply
    14,638.19x = 20,200.69 × 7,923.87
  4. Step 4: Simplify right side
    14,638.19x = 160,067,545.91
  5. Step 5: Solve for x
    x = 160,067,545.91/14,638.19
  6. Step 6: Final answer
    x = 10,934.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.