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Finding the Fourth Proportional to 28,065.64, 42,105.78 and 10,535.80

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Solution

The fourth proportional to 28,065.64, 42,105.78 and 10,535.80 is: 15,806.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,065.64 : 42,105.78 = 10,535.80 : x
  2. Step 2: Convert to fraction form
    28,065.64/42,105.78 = 10,535.80/x
  3. Step 3: Cross multiply
    28,065.64x = 42,105.78 × 10,535.80
  4. Step 4: Simplify right side
    28,065.64x = 443,618,076.92
  5. Step 5: Solve for x
    x = 443,618,076.92/28,065.64
  6. Step 6: Final answer
    x = 15,806.45

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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.