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Finding the Fourth Proportional to 12,438.64, 18,661.18 and 4,647.52

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Solution

The fourth proportional to 12,438.64, 18,661.18 and 4,647.52 is: 6,972.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,438.64 : 18,661.18 = 4,647.52 : x
  2. Step 2: Convert to fraction form
    12,438.64/18,661.18 = 4,647.52/x
  3. Step 3: Cross multiply
    12,438.64x = 18,661.18 × 4,647.52
  4. Step 4: Simplify right side
    12,438.64x = 86,728,207.27
  5. Step 5: Solve for x
    x = 86,728,207.27/12,438.64
  6. Step 6: Final answer
    x = 6,972.48

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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.