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Finding the Fourth Proportional to 19,290.96, 28,934.35 and 6,142.30

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Solution

The fourth proportional to 19,290.96, 28,934.35 and 6,142.30 is: 9,212.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,290.96 : 28,934.35 = 6,142.30 : x
  2. Step 2: Convert to fraction form
    19,290.96/28,934.35 = 6,142.30/x
  3. Step 3: Cross multiply
    19,290.96x = 28,934.35 × 6,142.30
  4. Step 4: Simplify right side
    19,290.96x = 177,723,370.31
  5. Step 5: Solve for x
    x = 177,723,370.31/19,290.96
  6. Step 6: Final answer
    x = 9,212.78

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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.