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Finding the Fourth Proportional to 22,897.47, 31,597.62 and 12,825.39

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Solution

The fourth proportional to 22,897.47, 31,597.62 and 12,825.39 is: 17,698.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,897.47 : 31,597.62 = 12,825.39 : x
  2. Step 2: Convert to fraction form
    22,897.47/31,597.62 = 12,825.39/x
  3. Step 3: Cross multiply
    22,897.47x = 31,597.62 × 12,825.39
  4. Step 4: Simplify right side
    22,897.47x = 405,251,799.57
  5. Step 5: Solve for x
    x = 405,251,799.57/22,897.47
  6. Step 6: Final answer
    x = 17,698.54

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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.