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Finding the Fourth Proportional to 19,850.66, 29,737.07 and 11,513.16

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Solution

The fourth proportional to 19,850.66, 29,737.07 and 11,513.16 is: 17,247.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,850.66 : 29,737.07 = 11,513.16 : x
  2. Step 2: Convert to fraction form
    19,850.66/29,737.07 = 11,513.16/x
  3. Step 3: Cross multiply
    19,850.66x = 29,737.07 × 11,513.16
  4. Step 4: Simplify right side
    19,850.66x = 342,367,644.84
  5. Step 5: Solve for x
    x = 342,367,644.84/19,850.66
  6. Step 6: Final answer
    x = 17,247.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.