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Finding the Fourth Proportional to 20,038.20, 30,029.94 and 7,545.66

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Solution

The fourth proportional to 20,038.20, 30,029.94 and 7,545.66 is: 11,308.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,038.20 : 30,029.94 = 7,545.66 : x
  2. Step 2: Convert to fraction form
    20,038.20/30,029.94 = 7,545.66/x
  3. Step 3: Cross multiply
    20,038.20x = 30,029.94 × 7,545.66
  4. Step 4: Simplify right side
    20,038.20x = 226,595,717.06
  5. Step 5: Solve for x
    x = 226,595,717.06/20,038.20
  6. Step 6: Final answer
    x = 11,308.19

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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.