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Finding the Fourth Proportional to 21,520.95, 29,694.05 and 13,022.86

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Solution

The fourth proportional to 21,520.95, 29,694.05 and 13,022.86 is: 17,968.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,520.95 : 29,694.05 = 13,022.86 : x
  2. Step 2: Convert to fraction form
    21,520.95/29,694.05 = 13,022.86/x
  3. Step 3: Cross multiply
    21,520.95x = 29,694.05 × 13,022.86
  4. Step 4: Simplify right side
    21,520.95x = 386,701,455.98
  5. Step 5: Solve for x
    x = 386,701,455.98/21,520.95
  6. Step 6: Final answer
    x = 17,968.61

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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.