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Finding the Fourth Proportional to 19,215.27, 28,805.85 and 9,214.56

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Solution

The fourth proportional to 19,215.27, 28,805.85 and 9,214.56 is: 13,813.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,215.27 : 28,805.85 = 9,214.56 : x
  2. Step 2: Convert to fraction form
    19,215.27/28,805.85 = 9,214.56/x
  3. Step 3: Cross multiply
    19,215.27x = 28,805.85 × 9,214.56
  4. Step 4: Simplify right side
    19,215.27x = 265,433,233.18
  5. Step 5: Solve for x
    x = 265,433,233.18/19,215.27
  6. Step 6: Final answer
    x = 13,813.66

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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.