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Finding the Fourth Proportional to 20,728.40, 31,047.24 and 17,200.40

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Solution

The fourth proportional to 20,728.40, 31,047.24 and 17,200.40 is: 25,762.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,728.40 : 31,047.24 = 17,200.40 : x
  2. Step 2: Convert to fraction form
    20,728.40/31,047.24 = 17,200.40/x
  3. Step 3: Cross multiply
    20,728.40x = 31,047.24 × 17,200.40
  4. Step 4: Simplify right side
    20,728.40x = 534,024,946.90
  5. Step 5: Solve for x
    x = 534,024,946.90/20,728.40
  6. Step 6: Final answer
    x = 25,762.96

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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.