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Finding the Fourth Proportional to 22,984.24, 31,707.40 and 19,662.73

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Solution

The fourth proportional to 22,984.24, 31,707.40 and 19,662.73 is: 27,125.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,984.24 : 31,707.40 = 19,662.73 : x
  2. Step 2: Convert to fraction form
    22,984.24/31,707.40 = 19,662.73/x
  3. Step 3: Cross multiply
    22,984.24x = 31,707.40 × 19,662.73
  4. Step 4: Simplify right side
    22,984.24x = 623,454,132.00
  5. Step 5: Solve for x
    x = 623,454,132.00/22,984.24
  6. Step 6: Final answer
    x = 27,125.29

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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.