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Finding the Fourth Proportional to 22,616.33, 31,174.56 and 17,828.51

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Solution

The fourth proportional to 22,616.33, 31,174.56 and 17,828.51 is: 24,574.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,616.33 : 31,174.56 = 17,828.51 : x
  2. Step 2: Convert to fraction form
    22,616.33/31,174.56 = 17,828.51/x
  3. Step 3: Cross multiply
    22,616.33x = 31,174.56 × 17,828.51
  4. Step 4: Simplify right side
    22,616.33x = 555,795,798.83
  5. Step 5: Solve for x
    x = 555,795,798.83/22,616.33
  6. Step 6: Final answer
    x = 24,574.98

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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.