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Finding the Fourth Proportional to 20,748.48, 31,103.02 and 8,276.16

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Solution

The fourth proportional to 20,748.48, 31,103.02 and 8,276.16 is: 12,406.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,748.48 : 31,103.02 = 8,276.16 : x
  2. Step 2: Convert to fraction form
    20,748.48/31,103.02 = 8,276.16/x
  3. Step 3: Cross multiply
    20,748.48x = 31,103.02 × 8,276.16
  4. Step 4: Simplify right side
    20,748.48x = 257,413,570.00
  5. Step 5: Solve for x
    x = 257,413,570.00/20,748.48
  6. Step 6: Final answer
    x = 12,406.38

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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.