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Finding the Fourth Proportional to 22,963.86, 31,682.58 and 14,008.14

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Solution

The fourth proportional to 22,963.86, 31,682.58 and 14,008.14 is: 19,326.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,963.86 : 31,682.58 = 14,008.14 : x
  2. Step 2: Convert to fraction form
    22,963.86/31,682.58 = 14,008.14/x
  3. Step 3: Cross multiply
    22,963.86x = 31,682.58 × 14,008.14
  4. Step 4: Simplify right side
    22,963.86x = 443,814,016.20
  5. Step 5: Solve for x
    x = 443,814,016.20/22,963.86
  6. Step 6: Final answer
    x = 19,326.63

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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.