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Finding the Fourth Proportional to 12,224, 18,335.60 and 3,458.90

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Solution

The fourth proportional to 12,224, 18,335.60 and 3,458.90 is: 5,188.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,224 : 18,335.60 = 3,458.90 : x
  2. Step 2: Convert to fraction form
    12,224/18,335.60 = 3,458.90/x
  3. Step 3: Cross multiply
    12,224x = 18,335.60 × 3,458.90
  4. Step 4: Simplify right side
    12,224x = 63,421,006.84
  5. Step 5: Solve for x
    x = 63,421,006.84/12,224
  6. Step 6: Final answer
    x = 5,188.24

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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.