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Finding the Fourth Proportional to 15,276, 22,921.68 and 5,922.44

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Solution

The fourth proportional to 15,276, 22,921.68 and 5,922.44 is: 8,886.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,276 : 22,921.68 = 5,922.44 : x
  2. Step 2: Convert to fraction form
    15,276/22,921.68 = 5,922.44/x
  3. Step 3: Cross multiply
    15,276x = 22,921.68 × 5,922.44
  4. Step 4: Simplify right side
    15,276x = 135,752,274.50
  5. Step 5: Solve for x
    x = 135,752,274.50/15,276
  6. Step 6: Final answer
    x = 8,886.64

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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.