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Finding the Fourth Proportional to 13,935.84, 19,230.17 and 8,269.61

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Solution

The fourth proportional to 13,935.84, 19,230.17 and 8,269.61 is: 11,411.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,935.84 : 19,230.17 = 8,269.61 : x
  2. Step 2: Convert to fraction form
    13,935.84/19,230.17 = 8,269.61/x
  3. Step 3: Cross multiply
    13,935.84x = 19,230.17 × 8,269.61
  4. Step 4: Simplify right side
    13,935.84x = 159,025,868.63
  5. Step 5: Solve for x
    x = 159,025,868.63/13,935.84
  6. Step 6: Final answer
    x = 11,411.29

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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.