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Finding the Fourth Proportional to 22,451.77, 30,986.31 and 13,020.13

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Solution

The fourth proportional to 22,451.77, 30,986.31 and 13,020.13 is: 17,969.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,451.77 : 30,986.31 = 13,020.13 : x
  2. Step 2: Convert to fraction form
    22,451.77/30,986.31 = 13,020.13/x
  3. Step 3: Cross multiply
    22,451.77x = 30,986.31 × 13,020.13
  4. Step 4: Simplify right side
    22,451.77x = 403,445,784.42
  5. Step 5: Solve for x
    x = 403,445,784.42/22,451.77
  6. Step 6: Final answer
    x = 17,969.44

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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.