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Finding the Fourth Proportional to 15,998.94, 22,082.49 and 9,716.58

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Solution

The fourth proportional to 15,998.94, 22,082.49 and 9,716.58 is: 13,411.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,998.94 : 22,082.49 = 9,716.58 : x
  2. Step 2: Convert to fraction form
    15,998.94/22,082.49 = 9,716.58/x
  3. Step 3: Cross multiply
    15,998.94x = 22,082.49 × 9,716.58
  4. Step 4: Simplify right side
    15,998.94x = 214,566,280.68
  5. Step 5: Solve for x
    x = 214,566,280.68/15,998.94
  6. Step 6: Final answer
    x = 13,411.28

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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.