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Finding the Fourth Proportional to 12,205, 16,837.26 and 7,167.62

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Solution

The fourth proportional to 12,205, 16,837.26 and 7,167.62 is: 9,888.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,205 : 16,837.26 = 7,167.62 : x
  2. Step 2: Convert to fraction form
    12,205/16,837.26 = 7,167.62/x
  3. Step 3: Cross multiply
    12,205x = 16,837.26 × 7,167.62
  4. Step 4: Simplify right side
    12,205x = 120,683,081.52
  5. Step 5: Solve for x
    x = 120,683,081.52/12,205
  6. Step 6: Final answer
    x = 9,888.00

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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.