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Finding the Fourth Proportional to 20,683.40, 31,005.86 and 7,532.78

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Solution

The fourth proportional to 20,683.40, 31,005.86 and 7,532.78 is: 11,292.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,683.40 : 31,005.86 = 7,532.78 : x
  2. Step 2: Convert to fraction form
    20,683.40/31,005.86 = 7,532.78/x
  3. Step 3: Cross multiply
    20,683.40x = 31,005.86 × 7,532.78
  4. Step 4: Simplify right side
    20,683.40x = 233,560,129.40
  5. Step 5: Solve for x
    x = 233,560,129.40/20,683.40
  6. Step 6: Final answer
    x = 11,292.16

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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.