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Finding the Fourth Proportional to 12,214.23, 16,855.63 and 6,908.93

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Solution

The fourth proportional to 12,214.23, 16,855.63 and 6,908.93 is: 9,534.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,214.23 : 16,855.63 = 6,908.93 : x
  2. Step 2: Convert to fraction form
    12,214.23/16,855.63 = 6,908.93/x
  3. Step 3: Cross multiply
    12,214.23x = 16,855.63 × 6,908.93
  4. Step 4: Simplify right side
    12,214.23x = 116,454,367.78
  5. Step 5: Solve for x
    x = 116,454,367.78/12,214.23
  6. Step 6: Final answer
    x = 9,534.32

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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.