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Finding the Fourth Proportional to 12,422.96, 18,635.15 and 5,027.25

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Solution

The fourth proportional to 12,422.96, 18,635.15 and 5,027.25 is: 7,541.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,422.96 : 18,635.15 = 5,027.25 : x
  2. Step 2: Convert to fraction form
    12,422.96/18,635.15 = 5,027.25/x
  3. Step 3: Cross multiply
    12,422.96x = 18,635.15 × 5,027.25
  4. Step 4: Simplify right side
    12,422.96x = 93,683,557.84
  5. Step 5: Solve for x
    x = 93,683,557.84/12,422.96
  6. Step 6: Final answer
    x = 7,541.16

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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.