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Finding the Fourth Proportional to 22,971.34, 34,424.88 and 12,418.57

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Solution

The fourth proportional to 22,971.34, 34,424.88 and 12,418.57 is: 18,610.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,971.34 : 34,424.88 = 12,418.57 : x
  2. Step 2: Convert to fraction form
    22,971.34/34,424.88 = 12,418.57/x
  3. Step 3: Cross multiply
    22,971.34x = 34,424.88 × 12,418.57
  4. Step 4: Simplify right side
    22,971.34x = 427,507,782.02
  5. Step 5: Solve for x
    x = 427,507,782.02/22,971.34
  6. Step 6: Final answer
    x = 18,610.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.