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Finding the Fourth Proportional to 20,417.74, 30,585.61 and 9,309.15

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Solution

The fourth proportional to 20,417.74, 30,585.61 and 9,309.15 is: 13,945.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,417.74 : 30,585.61 = 9,309.15 : x
  2. Step 2: Convert to fraction form
    20,417.74/30,585.61 = 9,309.15/x
  3. Step 3: Cross multiply
    20,417.74x = 30,585.61 × 9,309.15
  4. Step 4: Simplify right side
    20,417.74x = 284,726,032.99
  5. Step 5: Solve for x
    x = 284,726,032.99/20,417.74
  6. Step 6: Final answer
    x = 13,945.03

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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.