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Finding the Fourth Proportional to 19,767.74, 29,661.34 and 9,238.49

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Solution

The fourth proportional to 19,767.74, 29,661.34 and 9,238.49 is: 13,862.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,767.74 : 29,661.34 = 9,238.49 : x
  2. Step 2: Convert to fraction form
    19,767.74/29,661.34 = 9,238.49/x
  3. Step 3: Cross multiply
    19,767.74x = 29,661.34 × 9,238.49
  4. Step 4: Simplify right side
    19,767.74x = 274,025,844.67
  5. Step 5: Solve for x
    x = 274,025,844.67/19,767.74
  6. Step 6: Final answer
    x = 13,862.28

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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.