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Finding the Fourth Proportional to 12,215.93, 16,855.08 and 7,435.82

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Solution

The fourth proportional to 12,215.93, 16,855.08 and 7,435.82 is: 10,259.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,215.93 : 16,855.08 = 7,435.82 : x
  2. Step 2: Convert to fraction form
    12,215.93/16,855.08 = 7,435.82/x
  3. Step 3: Cross multiply
    12,215.93x = 16,855.08 × 7,435.82
  4. Step 4: Simplify right side
    12,215.93x = 125,331,394.88
  5. Step 5: Solve for x
    x = 125,331,394.88/12,215.93
  6. Step 6: Final answer
    x = 10,259.67

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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.