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Finding the Fourth Proportional to 22,511.80, 31,065.49 and 12,440.06

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Solution

The fourth proportional to 22,511.80, 31,065.49 and 12,440.06 is: 17,166.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,511.80 : 31,065.49 = 12,440.06 : x
  2. Step 2: Convert to fraction form
    22,511.80/31,065.49 = 12,440.06/x
  3. Step 3: Cross multiply
    22,511.80x = 31,065.49 × 12,440.06
  4. Step 4: Simplify right side
    22,511.80x = 386,456,536.25
  5. Step 5: Solve for x
    x = 386,456,536.25/22,511.80
  6. Step 6: Final answer
    x = 17,166.84

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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.