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Finding the Fourth Proportional to 12,232.02, 18,335.10 and 5,662.50

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Solution

The fourth proportional to 12,232.02, 18,335.10 and 5,662.50 is: 8,487.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,232.02 : 18,335.10 = 5,662.50 : x
  2. Step 2: Convert to fraction form
    12,232.02/18,335.10 = 5,662.50/x
  3. Step 3: Cross multiply
    12,232.02x = 18,335.10 × 5,662.50
  4. Step 4: Simplify right side
    12,232.02x = 103,822,503.75
  5. Step 5: Solve for x
    x = 103,822,503.75/12,232.02
  6. Step 6: Final answer
    x = 8,487.76

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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.