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Finding the Fourth Proportional to 12,438.21, 18,656.63 and 5,040.68

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Solution

The fourth proportional to 12,438.21, 18,656.63 and 5,040.68 is: 7,560.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,438.21 : 18,656.63 = 5,040.68 : x
  2. Step 2: Convert to fraction form
    12,438.21/18,656.63 = 5,040.68/x
  3. Step 3: Cross multiply
    12,438.21x = 18,656.63 × 5,040.68
  4. Step 4: Simplify right side
    12,438.21x = 94,042,107.07
  5. Step 5: Solve for x
    x = 94,042,107.07/12,438.21
  6. Step 6: Final answer
    x = 7,560.74

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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.