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Finding the Fourth Proportional to 22,626.12, 31,224.23 and 12,555.23

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Solution

The fourth proportional to 22,626.12, 31,224.23 and 12,555.23 is: 17,326.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,626.12 : 31,224.23 = 12,555.23 : x
  2. Step 2: Convert to fraction form
    22,626.12/31,224.23 = 12,555.23/x
  3. Step 3: Cross multiply
    22,626.12x = 31,224.23 × 12,555.23
  4. Step 4: Simplify right side
    22,626.12x = 392,027,389.22
  5. Step 5: Solve for x
    x = 392,027,389.22/22,626.12
  6. Step 6: Final answer
    x = 17,326.32

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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.