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Finding the Fourth Proportional to 28,542.36, 42,820 and 15,394.44

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Solution

The fourth proportional to 28,542.36, 42,820 and 15,394.44 is: 23,095.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,542.36 : 42,820 = 15,394.44 : x
  2. Step 2: Convert to fraction form
    28,542.36/42,820 = 15,394.44/x
  3. Step 3: Cross multiply
    28,542.36x = 42,820 × 15,394.44
  4. Step 4: Simplify right side
    28,542.36x = 659,189,920.80
  5. Step 5: Solve for x
    x = 659,189,920.80/28,542.36
  6. Step 6: Final answer
    x = 23,095.14

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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.