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Finding the Fourth Proportional to 22,893.62, 31,594.80 and 13,335.83

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Solution

The fourth proportional to 22,893.62, 31,594.80 and 13,335.83 is: 18,404.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,893.62 : 31,594.80 = 13,335.83 : x
  2. Step 2: Convert to fraction form
    22,893.62/31,594.80 = 13,335.83/x
  3. Step 3: Cross multiply
    22,893.62x = 31,594.80 × 13,335.83
  4. Step 4: Simplify right side
    22,893.62x = 421,342,723.71
  5. Step 5: Solve for x
    x = 421,342,723.71/22,893.62
  6. Step 6: Final answer
    x = 18,404.38

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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.