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Finding the Fourth Proportional to 11,602, 17,388.40 and 8,321.50

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Solution

The fourth proportional to 11,602, 17,388.40 and 8,321.50 is: 12,471.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,602 : 17,388.40 = 8,321.50 : x
  2. Step 2: Convert to fraction form
    11,602/17,388.40 = 8,321.50/x
  3. Step 3: Cross multiply
    11,602x = 17,388.40 × 8,321.50
  4. Step 4: Simplify right side
    11,602x = 144,697,570.60
  5. Step 5: Solve for x
    x = 144,697,570.60/11,602
  6. Step 6: Final answer
    x = 12,471.78

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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.