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Finding the Fourth Proportional to 12,327.60, 18,486 and 3,562.32

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Solution

The fourth proportional to 12,327.60, 18,486 and 3,562.32 is: 5,341.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,327.60 : 18,486 = 3,562.32 : x
  2. Step 2: Convert to fraction form
    12,327.60/18,486 = 3,562.32/x
  3. Step 3: Cross multiply
    12,327.60x = 18,486 × 3,562.32
  4. Step 4: Simplify right side
    12,327.60x = 65,853,047.52
  5. Step 5: Solve for x
    x = 65,853,047.52/12,327.60
  6. Step 6: Final answer
    x = 5,341.92

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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.