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Finding the Fourth Proportional to 12,362.64, 18,546.35 and 4,040.42

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Solution

The fourth proportional to 12,362.64, 18,546.35 and 4,040.42 is: 6,061.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,362.64 : 18,546.35 = 4,040.42 : x
  2. Step 2: Convert to fraction form
    12,362.64/18,546.35 = 4,040.42/x
  3. Step 3: Cross multiply
    12,362.64x = 18,546.35 × 4,040.42
  4. Step 4: Simplify right side
    12,362.64x = 74,934,930.53
  5. Step 5: Solve for x
    x = 74,934,930.53/12,362.64
  6. Step 6: Final answer
    x = 6,061.40

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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.