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Finding the Fourth Proportional to 15,215.57, 22,823.34 and 5,729.67

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Solution

The fourth proportional to 15,215.57, 22,823.34 and 5,729.67 is: 8,594.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,215.57 : 22,823.34 = 5,729.67 : x
  2. Step 2: Convert to fraction form
    15,215.57/22,823.34 = 5,729.67/x
  3. Step 3: Cross multiply
    15,215.57x = 22,823.34 × 5,729.67
  4. Step 4: Simplify right side
    15,215.57x = 130,770,206.50
  5. Step 5: Solve for x
    x = 130,770,206.50/15,215.57
  6. Step 6: Final answer
    x = 8,594.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.