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Finding the Fourth Proportional to 15,206.57, 22,809.78 and 4,113.24

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Solution

The fourth proportional to 15,206.57, 22,809.78 and 4,113.24 is: 6,169.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,206.57 : 22,809.78 = 4,113.24 : x
  2. Step 2: Convert to fraction form
    15,206.57/22,809.78 = 4,113.24/x
  3. Step 3: Cross multiply
    15,206.57x = 22,809.78 × 4,113.24
  4. Step 4: Simplify right side
    15,206.57x = 93,822,099.49
  5. Step 5: Solve for x
    x = 93,822,099.49/15,206.57
  6. Step 6: Final answer
    x = 6,169.84

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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.