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Finding the Fourth Proportional to 22,958.14, 31,682.22 and 12,886.58

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Solution

The fourth proportional to 22,958.14, 31,682.22 and 12,886.58 is: 17,783.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,958.14 : 31,682.22 = 12,886.58 : x
  2. Step 2: Convert to fraction form
    22,958.14/31,682.22 = 12,886.58/x
  3. Step 3: Cross multiply
    22,958.14x = 31,682.22 × 12,886.58
  4. Step 4: Simplify right side
    22,958.14x = 408,275,462.61
  5. Step 5: Solve for x
    x = 408,275,462.61/22,958.14
  6. Step 6: Final answer
    x = 17,783.47

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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.