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Finding the Fourth Proportional to 20,888.40, 31,323.39 and 9,786.14

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Solution

The fourth proportional to 20,888.40, 31,323.39 and 9,786.14 is: 14,674.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,888.40 : 31,323.39 = 9,786.14 : x
  2. Step 2: Convert to fraction form
    20,888.40/31,323.39 = 9,786.14/x
  3. Step 3: Cross multiply
    20,888.40x = 31,323.39 × 9,786.14
  4. Step 4: Simplify right side
    20,888.40x = 306,535,079.81
  5. Step 5: Solve for x
    x = 306,535,079.81/20,888.40
  6. Step 6: Final answer
    x = 14,674.90

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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.