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Finding the Fourth Proportional to 20,750.48, 31,106.02 and 8,278.16

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Solution

The fourth proportional to 20,750.48, 31,106.02 and 8,278.16 is: 12,409.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,750.48 : 31,106.02 = 8,278.16 : x
  2. Step 2: Convert to fraction form
    20,750.48/31,106.02 = 8,278.16/x
  3. Step 3: Cross multiply
    20,750.48x = 31,106.02 × 8,278.16
  4. Step 4: Simplify right side
    20,750.48x = 257,500,610.52
  5. Step 5: Solve for x
    x = 257,500,610.52/20,750.48
  6. Step 6: Final answer
    x = 12,409.38

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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.