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Finding the Fourth Proportional to 20,417.68, 30,585.51 and 9,309.09

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Solution

The fourth proportional to 20,417.68, 30,585.51 and 9,309.09 is: 13,944.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,417.68 : 30,585.51 = 9,309.09 : x
  2. Step 2: Convert to fraction form
    20,417.68/30,585.51 = 9,309.09/x
  3. Step 3: Cross multiply
    20,417.68x = 30,585.51 × 9,309.09
  4. Step 4: Simplify right side
    20,417.68x = 284,723,248.67
  5. Step 5: Solve for x
    x = 284,723,248.67/20,417.68
  6. Step 6: Final answer
    x = 13,944.94

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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.