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Finding the Fourth Proportional to 28,182.56, 42,275.09 and 15,693.19

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Solution

The fourth proportional to 28,182.56, 42,275.09 and 15,693.19 is: 23,540.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,182.56 : 42,275.09 = 15,693.19 : x
  2. Step 2: Convert to fraction form
    28,182.56/42,275.09 = 15,693.19/x
  3. Step 3: Cross multiply
    28,182.56x = 42,275.09 × 15,693.19
  4. Step 4: Simplify right side
    28,182.56x = 663,431,146.84
  5. Step 5: Solve for x
    x = 663,431,146.84/28,182.56
  6. Step 6: Final answer
    x = 23,540.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.