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Finding the Fourth Proportional to 15,084, 22,626.04 and 4,695.76

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Solution

The fourth proportional to 15,084, 22,626.04 and 4,695.76 is: 7,043.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,084 : 22,626.04 = 4,695.76 : x
  2. Step 2: Convert to fraction form
    15,084/22,626.04 = 4,695.76/x
  3. Step 3: Cross multiply
    15,084x = 22,626.04 × 4,695.76
  4. Step 4: Simplify right side
    15,084x = 106,246,453.59
  5. Step 5: Solve for x
    x = 106,246,453.59/15,084
  6. Step 6: Final answer
    x = 7,043.65

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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.