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Finding the Fourth Proportional to 19,309.52, 28,938.08 and 8,202.28

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Solution

The fourth proportional to 19,309.52, 28,938.08 and 8,202.28 is: 12,292.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,309.52 : 28,938.08 = 8,202.28 : x
  2. Step 2: Convert to fraction form
    19,309.52/28,938.08 = 8,202.28/x
  3. Step 3: Cross multiply
    19,309.52x = 28,938.08 × 8,202.28
  4. Step 4: Simplify right side
    19,309.52x = 237,358,234.82
  5. Step 5: Solve for x
    x = 237,358,234.82/19,309.52
  6. Step 6: Final answer
    x = 12,292.29

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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.