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Finding the Fourth Proportional to 28,523.70, 42,802.52 and 15,206.49

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Solution

The fourth proportional to 28,523.70, 42,802.52 and 15,206.49 is: 22,818.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,523.70 : 42,802.52 = 15,206.49 : x
  2. Step 2: Convert to fraction form
    28,523.70/42,802.52 = 15,206.49/x
  3. Step 3: Cross multiply
    28,523.70x = 42,802.52 × 15,206.49
  4. Step 4: Simplify right side
    28,523.70x = 650,876,016.32
  5. Step 5: Solve for x
    x = 650,876,016.32/28,523.70
  6. Step 6: Final answer
    x = 22,818.78

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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.