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Finding the Fourth Proportional to 22,817.40, 31,486.40 and 12,745.46

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Solution

The fourth proportional to 22,817.40, 31,486.40 and 12,745.46 is: 17,587.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,817.40 : 31,486.40 = 12,745.46 : x
  2. Step 2: Convert to fraction form
    22,817.40/31,486.40 = 12,745.46/x
  3. Step 3: Cross multiply
    22,817.40x = 31,486.40 × 12,745.46
  4. Step 4: Simplify right side
    22,817.40x = 401,308,651.74
  5. Step 5: Solve for x
    x = 401,308,651.74/22,817.40
  6. Step 6: Final answer
    x = 17,587.83

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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.