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Finding the Fourth Proportional to 28,175.20, 42,270 and 10,645.12

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Solution

The fourth proportional to 28,175.20, 42,270 and 10,645.12 is: 15,970.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,175.20 : 42,270 = 10,645.12 : x
  2. Step 2: Convert to fraction form
    28,175.20/42,270 = 10,645.12/x
  3. Step 3: Cross multiply
    28,175.20x = 42,270 × 10,645.12
  4. Step 4: Simplify right side
    28,175.20x = 449,969,222.40
  5. Step 5: Solve for x
    x = 449,969,222.40/28,175.20
  6. Step 6: Final answer
    x = 15,970.40

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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.