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Finding the Fourth Proportional to 12,335.68, 18,503.07 and 5,752.78

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Solution

The fourth proportional to 12,335.68, 18,503.07 and 5,752.78 is: 8,628.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,335.68 : 18,503.07 = 5,752.78 : x
  2. Step 2: Convert to fraction form
    12,335.68/18,503.07 = 5,752.78/x
  3. Step 3: Cross multiply
    12,335.68x = 18,503.07 × 5,752.78
  4. Step 4: Simplify right side
    12,335.68x = 106,444,091.03
  5. Step 5: Solve for x
    x = 106,444,091.03/12,335.68
  6. Step 6: Final answer
    x = 8,628.96

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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.