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Finding the Fourth Proportional to 20,860.68, 31,269.14 and 9,758

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Solution

The fourth proportional to 20,860.68, 31,269.14 and 9,758 is: 14,626.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,860.68 : 31,269.14 = 9,758 : x
  2. Step 2: Convert to fraction form
    20,860.68/31,269.14 = 9,758/x
  3. Step 3: Cross multiply
    20,860.68x = 31,269.14 × 9,758
  4. Step 4: Simplify right side
    20,860.68x = 305,124,268.12
  5. Step 5: Solve for x
    x = 305,124,268.12/20,860.68
  6. Step 6: Final answer
    x = 14,626.77

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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.