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Finding the Fourth Proportional to 20,389.86, 30,595.23 and 9,295.13

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Solution

The fourth proportional to 20,389.86, 30,595.23 and 9,295.13 is: 13,947.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,389.86 : 30,595.23 = 9,295.13 : x
  2. Step 2: Convert to fraction form
    20,389.86/30,595.23 = 9,295.13/x
  3. Step 3: Cross multiply
    20,389.86x = 30,595.23 × 9,295.13
  4. Step 4: Simplify right side
    20,389.86x = 284,386,716.72
  5. Step 5: Solve for x
    x = 284,386,716.72/20,389.86
  6. Step 6: Final answer
    x = 13,947.46

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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.