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Finding the Fourth Proportional to 16,634.16, 24,957.32 and 7,869.76

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Solution

The fourth proportional to 16,634.16, 24,957.32 and 7,869.76 is: 11,807.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,634.16 : 24,957.32 = 7,869.76 : x
  2. Step 2: Convert to fraction form
    16,634.16/24,957.32 = 7,869.76/x
  3. Step 3: Cross multiply
    16,634.16x = 24,957.32 × 7,869.76
  4. Step 4: Simplify right side
    16,634.16x = 196,408,016.90
  5. Step 5: Solve for x
    x = 196,408,016.90/16,634.16
  6. Step 6: Final answer
    x = 11,807.51

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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.