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Finding the Fourth Proportional to 22,511.81, 31,068.17 and 12,442.22

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Solution

The fourth proportional to 22,511.81, 31,068.17 and 12,442.22 is: 17,171.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,511.81 : 31,068.17 = 12,442.22 : x
  2. Step 2: Convert to fraction form
    22,511.81/31,068.17 = 12,442.22/x
  3. Step 3: Cross multiply
    22,511.81x = 31,068.17 × 12,442.22
  4. Step 4: Simplify right side
    22,511.81x = 386,556,788.59
  5. Step 5: Solve for x
    x = 386,556,788.59/22,511.81
  6. Step 6: Final answer
    x = 17,171.29

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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.