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Finding the Fourth Proportional to 15,206.50, 22,809.75 and 5,972.50

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Solution

The fourth proportional to 15,206.50, 22,809.75 and 5,972.50 is: 8,958.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,206.50 : 22,809.75 = 5,972.50 : x
  2. Step 2: Convert to fraction form
    15,206.50/22,809.75 = 5,972.50/x
  3. Step 3: Cross multiply
    15,206.50x = 22,809.75 × 5,972.50
  4. Step 4: Simplify right side
    15,206.50x = 136,231,231.88
  5. Step 5: Solve for x
    x = 136,231,231.88/15,206.50
  6. Step 6: Final answer
    x = 8,958.75

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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.