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Finding the Fourth Proportional to 22,058.45, 30,440.58 and 12,626

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Solution

The fourth proportional to 22,058.45, 30,440.58 and 12,626 is: 17,423.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,058.45 : 30,440.58 = 12,626 : x
  2. Step 2: Convert to fraction form
    22,058.45/30,440.58 = 12,626/x
  3. Step 3: Cross multiply
    22,058.45x = 30,440.58 × 12,626
  4. Step 4: Simplify right side
    22,058.45x = 384,342,763.08
  5. Step 5: Solve for x
    x = 384,342,763.08/22,058.45
  6. Step 6: Final answer
    x = 17,423.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.