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Finding the Fourth Proportional to 22,605.36, 31,194.31 and 12,534.21

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Solution

The fourth proportional to 22,605.36, 31,194.31 and 12,534.21 is: 17,296.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,605.36 : 31,194.31 = 12,534.21 : x
  2. Step 2: Convert to fraction form
    22,605.36/31,194.31 = 12,534.21/x
  3. Step 3: Cross multiply
    22,605.36x = 31,194.31 × 12,534.21
  4. Step 4: Simplify right side
    22,605.36x = 390,996,032.35
  5. Step 5: Solve for x
    x = 390,996,032.35/22,605.36
  6. Step 6: Final answer
    x = 17,296.61

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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.