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Finding the Fourth Proportional to 20,978.28, 31,459.86 and 7,124.04

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Solution

The fourth proportional to 20,978.28, 31,459.86 and 7,124.04 is: 10,683.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,978.28 : 31,459.86 = 7,124.04 : x
  2. Step 2: Convert to fraction form
    20,978.28/31,459.86 = 7,124.04/x
  3. Step 3: Cross multiply
    20,978.28x = 31,459.86 × 7,124.04
  4. Step 4: Simplify right side
    20,978.28x = 224,121,301.03
  5. Step 5: Solve for x
    x = 224,121,301.03/20,978.28
  6. Step 6: Final answer
    x = 10,683.49

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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.