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Finding the Fourth Proportional to 28,680.96, 42,995.52 and 10,200

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Solution

The fourth proportional to 28,680.96, 42,995.52 and 10,200 is: 15,290.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,680.96 : 42,995.52 = 10,200 : x
  2. Step 2: Convert to fraction form
    28,680.96/42,995.52 = 10,200/x
  3. Step 3: Cross multiply
    28,680.96x = 42,995.52 × 10,200
  4. Step 4: Simplify right side
    28,680.96x = 438,554,304.00
  5. Step 5: Solve for x
    x = 438,554,304.00/28,680.96
  6. Step 6: Final answer
    x = 15,290.78

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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.