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Finding the Fourth Proportional to 20,488.32, 30,709.80 and 8,006.04

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Solution

The fourth proportional to 20,488.32, 30,709.80 and 8,006.04 is: 12,000.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,488.32 : 30,709.80 = 8,006.04 : x
  2. Step 2: Convert to fraction form
    20,488.32/30,709.80 = 8,006.04/x
  3. Step 3: Cross multiply
    20,488.32x = 30,709.80 × 8,006.04
  4. Step 4: Simplify right side
    20,488.32x = 245,863,887.19
  5. Step 5: Solve for x
    x = 245,863,887.19/20,488.32
  6. Step 6: Final answer
    x = 12,000.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.