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Finding the Fourth Proportional to 12,232.35, 18,335.77 and 7,793.35

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Solution

The fourth proportional to 12,232.35, 18,335.77 and 7,793.35 is: 11,681.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,232.35 : 18,335.77 = 7,793.35 : x
  2. Step 2: Convert to fraction form
    12,232.35/18,335.77 = 7,793.35/x
  3. Step 3: Cross multiply
    12,232.35x = 18,335.77 × 7,793.35
  4. Step 4: Simplify right side
    12,232.35x = 142,897,007.81
  5. Step 5: Solve for x
    x = 142,897,007.81/12,232.35
  6. Step 6: Final answer
    x = 11,681.89

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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.