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Finding the Fourth Proportional to 22,656.83, 31,398.89 and 22,339.71

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Solution

The fourth proportional to 22,656.83, 31,398.89 and 22,339.71 is: 30,959.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,656.83 : 31,398.89 = 22,339.71 : x
  2. Step 2: Convert to fraction form
    22,656.83/31,398.89 = 22,339.71/x
  3. Step 3: Cross multiply
    22,656.83x = 31,398.89 × 22,339.71
  4. Step 4: Simplify right side
    22,656.83x = 701,441,985.22
  5. Step 5: Solve for x
    x = 701,441,985.22/22,656.83
  6. Step 6: Final answer
    x = 30,959.41

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.