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Finding the Fourth Proportional to 21,407.74, 29,570.92 and 16,433.43

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Solution

The fourth proportional to 21,407.74, 29,570.92 and 16,433.43 is: 22,699.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,407.74 : 29,570.92 = 16,433.43 : x
  2. Step 2: Convert to fraction form
    21,407.74/29,570.92 = 16,433.43/x
  3. Step 3: Cross multiply
    21,407.74x = 29,570.92 × 16,433.43
  4. Step 4: Simplify right side
    21,407.74x = 485,951,750.66
  5. Step 5: Solve for x
    x = 485,951,750.66/21,407.74
  6. Step 6: Final answer
    x = 22,699.81

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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.