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Finding the Fourth Proportional to 16,202.89, 24,298.76 and 7,877.54

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Solution

The fourth proportional to 16,202.89, 24,298.76 and 7,877.54 is: 11,813.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,202.89 : 24,298.76 = 7,877.54 : x
  2. Step 2: Convert to fraction form
    16,202.89/24,298.76 = 7,877.54/x
  3. Step 3: Cross multiply
    16,202.89x = 24,298.76 × 7,877.54
  4. Step 4: Simplify right side
    16,202.89x = 191,414,534.29
  5. Step 5: Solve for x
    x = 191,414,534.29/16,202.89
  6. Step 6: Final answer
    x = 11,813.61

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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.