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Finding the Fourth Proportional to 12,336.96, 18,512.96 and 7,407.84

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Solution

The fourth proportional to 12,336.96, 18,512.96 and 7,407.84 is: 11,116.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,336.96 : 18,512.96 = 7,407.84 : x
  2. Step 2: Convert to fraction form
    12,336.96/18,512.96 = 7,407.84/x
  3. Step 3: Cross multiply
    12,336.96x = 18,512.96 × 7,407.84
  4. Step 4: Simplify right side
    12,336.96x = 137,141,045.61
  5. Step 5: Solve for x
    x = 137,141,045.61/12,336.96
  6. Step 6: Final answer
    x = 11,116.28

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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.