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Finding the Fourth Proportional to 12,261.72, 18,419.92 and 7,585.20

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Solution

The fourth proportional to 12,261.72, 18,419.92 and 7,585.20 is: 11,394.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,261.72 : 18,419.92 = 7,585.20 : x
  2. Step 2: Convert to fraction form
    12,261.72/18,419.92 = 7,585.20/x
  3. Step 3: Cross multiply
    12,261.72x = 18,419.92 × 7,585.20
  4. Step 4: Simplify right side
    12,261.72x = 139,718,777.18
  5. Step 5: Solve for x
    x = 139,718,777.18/12,261.72
  6. Step 6: Final answer
    x = 11,394.71

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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.