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Finding the Fourth Proportional to 12,308.60, 18,474.78 and 11,642.60

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Solution

The fourth proportional to 12,308.60, 18,474.78 and 11,642.60 is: 17,475.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,308.60 : 18,474.78 = 11,642.60 : x
  2. Step 2: Convert to fraction form
    12,308.60/18,474.78 = 11,642.60/x
  3. Step 3: Cross multiply
    12,308.60x = 18,474.78 × 11,642.60
  4. Step 4: Simplify right side
    12,308.60x = 215,094,473.63
  5. Step 5: Solve for x
    x = 215,094,473.63/12,308.60
  6. Step 6: Final answer
    x = 17,475.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.