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Finding the Fourth Proportional to 22,442.98, 30,969.91 and 12,371.50

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Solution

The fourth proportional to 22,442.98, 30,969.91 and 12,371.50 is: 17,071.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,442.98 : 30,969.91 = 12,371.50 : x
  2. Step 2: Convert to fraction form
    22,442.98/30,969.91 = 12,371.50/x
  3. Step 3: Cross multiply
    22,442.98x = 30,969.91 × 12,371.50
  4. Step 4: Simplify right side
    22,442.98x = 383,144,241.57
  5. Step 5: Solve for x
    x = 383,144,241.57/22,442.98
  6. Step 6: Final answer
    x = 17,071.90

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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.