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Finding the Fourth Proportional to 22,974.75, 31,705.17 and 13,038.75

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Solution

The fourth proportional to 22,974.75, 31,705.17 and 13,038.75 is: 17,993.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,974.75 : 31,705.17 = 13,038.75 : x
  2. Step 2: Convert to fraction form
    22,974.75/31,705.17 = 13,038.75/x
  3. Step 3: Cross multiply
    22,974.75x = 31,705.17 × 13,038.75
  4. Step 4: Simplify right side
    22,974.75x = 413,395,785.34
  5. Step 5: Solve for x
    x = 413,395,785.34/22,974.75
  6. Step 6: Final answer
    x = 17,993.48

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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.