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Finding the Fourth Proportional to 22,710.16, 31,339.38 and 12,638.44

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Solution

The fourth proportional to 22,710.16, 31,339.38 and 12,638.44 is: 17,440.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,710.16 : 31,339.38 = 12,638.44 : x
  2. Step 2: Convert to fraction form
    22,710.16/31,339.38 = 12,638.44/x
  3. Step 3: Cross multiply
    22,710.16x = 31,339.38 × 12,638.44
  4. Step 4: Simplify right side
    22,710.16x = 396,080,873.77
  5. Step 5: Solve for x
    x = 396,080,873.77/22,710.16
  6. Step 6: Final answer
    x = 17,440.69

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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.