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Finding the Fourth Proportional to 12,224.16, 16,866.54 and 6,917.82

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Solution

The fourth proportional to 12,224.16, 16,866.54 and 6,917.82 is: 9,545.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,224.16 : 16,866.54 = 6,917.82 : x
  2. Step 2: Convert to fraction form
    12,224.16/16,866.54 = 6,917.82/x
  3. Step 3: Cross multiply
    12,224.16x = 16,866.54 × 6,917.82
  4. Step 4: Simplify right side
    12,224.16x = 116,679,687.74
  5. Step 5: Solve for x
    x = 116,679,687.74/12,224.16
  6. Step 6: Final answer
    x = 9,545.01

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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.