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Finding the Fourth Proportional to 12,408.24, 18,609.30 and 7,411.98

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Solution

The fourth proportional to 12,408.24, 18,609.30 and 7,411.98 is: 11,116.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,408.24 : 18,609.30 = 7,411.98 : x
  2. Step 2: Convert to fraction form
    12,408.24/18,609.30 = 7,411.98/x
  3. Step 3: Cross multiply
    12,408.24x = 18,609.30 × 7,411.98
  4. Step 4: Simplify right side
    12,408.24x = 137,931,759.41
  5. Step 5: Solve for x
    x = 137,931,759.41/12,408.24
  6. Step 6: Final answer
    x = 11,116.14

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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.