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Finding the Fourth Proportional to 12,216.35, 16,855.81 and 7,438.77

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Solution

The fourth proportional to 12,216.35, 16,855.81 and 7,438.77 is: 10,263.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,216.35 : 16,855.81 = 7,438.77 : x
  2. Step 2: Convert to fraction form
    12,216.35/16,855.81 = 7,438.77/x
  3. Step 3: Cross multiply
    12,216.35x = 16,855.81 × 7,438.77
  4. Step 4: Simplify right side
    12,216.35x = 125,386,475.16
  5. Step 5: Solve for x
    x = 125,386,475.16/12,216.35
  6. Step 6: Final answer
    x = 10,263.82

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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.