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Finding the Fourth Proportional to 20,697.54, 31,043.14 and 7,549.92

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Solution

The fourth proportional to 20,697.54, 31,043.14 and 7,549.92 is: 11,323.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,697.54 : 31,043.14 = 7,549.92 : x
  2. Step 2: Convert to fraction form
    20,697.54/31,043.14 = 7,549.92/x
  3. Step 3: Cross multiply
    20,697.54x = 31,043.14 × 7,549.92
  4. Step 4: Simplify right side
    20,697.54x = 234,373,223.55
  5. Step 5: Solve for x
    x = 234,373,223.55/20,697.54
  6. Step 6: Final answer
    x = 11,323.72

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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.