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Finding the Fourth Proportional to 16,185.74, 24,280.86 and 7,299.84

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Solution

The fourth proportional to 16,185.74, 24,280.86 and 7,299.84 is: 10,950.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,185.74 : 24,280.86 = 7,299.84 : x
  2. Step 2: Convert to fraction form
    16,185.74/24,280.86 = 7,299.84/x
  3. Step 3: Cross multiply
    16,185.74x = 24,280.86 × 7,299.84
  4. Step 4: Simplify right side
    16,185.74x = 177,246,393.06
  5. Step 5: Solve for x
    x = 177,246,393.06/16,185.74
  6. Step 6: Final answer
    x = 10,950.77

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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.