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Finding the Fourth Proportional to 15,132, 22,698.16 and 4,188

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Solution

The fourth proportional to 15,132, 22,698.16 and 4,188 is: 6,282.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,132 : 22,698.16 = 4,188 : x
  2. Step 2: Convert to fraction form
    15,132/22,698.16 = 4,188/x
  3. Step 3: Cross multiply
    15,132x = 22,698.16 × 4,188
  4. Step 4: Simplify right side
    15,132x = 95,059,894.08
  5. Step 5: Solve for x
    x = 95,059,894.08/15,132
  6. Step 6: Final answer
    x = 6,282.04

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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.