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Finding the Fourth Proportional to 28,535.25, 39,378.78 and 15,960

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Solution

The fourth proportional to 28,535.25, 39,378.78 and 15,960 is: 22,024.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,535.25 : 39,378.78 = 15,960 : x
  2. Step 2: Convert to fraction form
    28,535.25/39,378.78 = 15,960/x
  3. Step 3: Cross multiply
    28,535.25x = 39,378.78 × 15,960
  4. Step 4: Simplify right side
    28,535.25x = 628,485,328.80
  5. Step 5: Solve for x
    x = 628,485,328.80/28,535.25
  6. Step 6: Final answer
    x = 22,024.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.