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Finding the Fourth Proportional to 22,424.64, 33,630.48 and 6,837

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Solution

The fourth proportional to 22,424.64, 33,630.48 and 6,837 is: 10,253.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,424.64 : 33,630.48 = 6,837 : x
  2. Step 2: Convert to fraction form
    22,424.64/33,630.48 = 6,837/x
  3. Step 3: Cross multiply
    22,424.64x = 33,630.48 × 6,837
  4. Step 4: Simplify right side
    22,424.64x = 229,931,591.76
  5. Step 5: Solve for x
    x = 229,931,591.76/22,424.64
  6. Step 6: Final answer
    x = 10,253.52

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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.