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Finding the Fourth Proportional to 21,520.22, 29,698.18 and 13,022.24

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Solution

The fourth proportional to 21,520.22, 29,698.18 and 13,022.24 is: 17,970.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,520.22 : 29,698.18 = 13,022.24 : x
  2. Step 2: Convert to fraction form
    21,520.22/29,698.18 = 13,022.24/x
  3. Step 3: Cross multiply
    21,520.22x = 29,698.18 × 13,022.24
  4. Step 4: Simplify right side
    21,520.22x = 386,736,646.48
  5. Step 5: Solve for x
    x = 386,736,646.48/21,520.22
  6. Step 6: Final answer
    x = 17,970.85

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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.