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Finding the Fourth Proportional to 22,582.88, 31,164.37 and 12,646.88

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Solution

The fourth proportional to 22,582.88, 31,164.37 and 12,646.88 is: 17,452.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,582.88 : 31,164.37 = 12,646.88 : x
  2. Step 2: Convert to fraction form
    22,582.88/31,164.37 = 12,646.88/x
  3. Step 3: Cross multiply
    22,582.88x = 31,164.37 × 12,646.88
  4. Step 4: Simplify right side
    22,582.88x = 394,131,860.23
  5. Step 5: Solve for x
    x = 394,131,860.23/22,582.88
  6. Step 6: Final answer
    x = 17,452.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.