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Finding the Fourth Proportional to 22,462.34, 30,997.65 and 12,391.75

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Solution

The fourth proportional to 22,462.34, 30,997.65 and 12,391.75 is: 17,100.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,462.34 : 30,997.65 = 12,391.75 : x
  2. Step 2: Convert to fraction form
    22,462.34/30,997.65 = 12,391.75/x
  3. Step 3: Cross multiply
    22,462.34x = 30,997.65 × 12,391.75
  4. Step 4: Simplify right side
    22,462.34x = 384,114,935.69
  5. Step 5: Solve for x
    x = 384,114,935.69/22,462.34
  6. Step 6: Final answer
    x = 17,100.40

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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.