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Finding the Fourth Proportional to 15,264.65, 22,900.24 and 4,734.44

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Solution

The fourth proportional to 15,264.65, 22,900.24 and 4,734.44 is: 7,102.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,264.65 : 22,900.24 = 4,734.44 : x
  2. Step 2: Convert to fraction form
    15,264.65/22,900.24 = 4,734.44/x
  3. Step 3: Cross multiply
    15,264.65x = 22,900.24 × 4,734.44
  4. Step 4: Simplify right side
    15,264.65x = 108,419,698.52
  5. Step 5: Solve for x
    x = 108,419,698.52/15,264.65
  6. Step 6: Final answer
    x = 7,102.67

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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.