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Finding the Fourth Proportional to 16,607.57, 24,914.79 and 7,837.70

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Solution

The fourth proportional to 16,607.57, 24,914.79 and 7,837.70 is: 11,758.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,607.57 : 24,914.79 = 7,837.70 : x
  2. Step 2: Convert to fraction form
    16,607.57/24,914.79 = 7,837.70/x
  3. Step 3: Cross multiply
    16,607.57x = 24,914.79 × 7,837.70
  4. Step 4: Simplify right side
    16,607.57x = 195,274,525.01
  5. Step 5: Solve for x
    x = 195,274,525.01/16,607.57
  6. Step 6: Final answer
    x = 11,758.17

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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.