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Finding the Fourth Proportional to 22,442.96, 30,971.73 and 12,372.13

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Solution

The fourth proportional to 22,442.96, 30,971.73 and 12,372.13 is: 17,073.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,442.96 : 30,971.73 = 12,372.13 : x
  2. Step 2: Convert to fraction form
    22,442.96/30,971.73 = 12,372.13/x
  3. Step 3: Cross multiply
    22,442.96x = 30,971.73 × 12,372.13
  4. Step 4: Simplify right side
    22,442.96x = 383,186,269.88
  5. Step 5: Solve for x
    x = 383,186,269.88/22,442.96
  6. Step 6: Final answer
    x = 17,073.78

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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.