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Finding the Fourth Proportional to 22,675.50, 34,015.17 and 6,259.50

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Solution

The fourth proportional to 22,675.50, 34,015.17 and 6,259.50 is: 9,389.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,675.50 : 34,015.17 = 6,259.50 : x
  2. Step 2: Convert to fraction form
    22,675.50/34,015.17 = 6,259.50/x
  3. Step 3: Cross multiply
    22,675.50x = 34,015.17 × 6,259.50
  4. Step 4: Simplify right side
    22,675.50x = 212,917,956.62
  5. Step 5: Solve for x
    x = 212,917,956.62/22,675.50
  6. Step 6: Final answer
    x = 9,389.78

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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.