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Finding the Fourth Proportional to 21,701.43, 29,950.74 and 12,141.86

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Solution

The fourth proportional to 21,701.43, 29,950.74 and 12,141.86 is: 16,757.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,701.43 : 29,950.74 = 12,141.86 : x
  2. Step 2: Convert to fraction form
    21,701.43/29,950.74 = 12,141.86/x
  3. Step 3: Cross multiply
    21,701.43x = 29,950.74 × 12,141.86
  4. Step 4: Simplify right side
    21,701.43x = 363,657,481.51
  5. Step 5: Solve for x
    x = 363,657,481.51/21,701.43
  6. Step 6: Final answer
    x = 16,757.31

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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.