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Finding the Fourth Proportional to 22,620.16, 31,215.90 and 12,548.80

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Solution

The fourth proportional to 22,620.16, 31,215.90 and 12,548.80 is: 17,317.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,620.16 : 31,215.90 = 12,548.80 : x
  2. Step 2: Convert to fraction form
    22,620.16/31,215.90 = 12,548.80/x
  3. Step 3: Cross multiply
    22,620.16x = 31,215.90 × 12,548.80
  4. Step 4: Simplify right side
    22,620.16x = 391,722,085.92
  5. Step 5: Solve for x
    x = 391,722,085.92/22,620.16
  6. Step 6: Final answer
    x = 17,317.39

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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.