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Finding the Fourth Proportional to 16,064.61, 22,177.20 and 10,099.57

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Solution

The fourth proportional to 16,064.61, 22,177.20 and 10,099.57 is: 13,942.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,064.61 : 22,177.20 = 10,099.57 : x
  2. Step 2: Convert to fraction form
    16,064.61/22,177.20 = 10,099.57/x
  3. Step 3: Cross multiply
    16,064.61x = 22,177.20 × 10,099.57
  4. Step 4: Simplify right side
    16,064.61x = 223,980,072.92
  5. Step 5: Solve for x
    x = 223,980,072.92/16,064.61
  6. Step 6: Final answer
    x = 13,942.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.