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Finding the Fourth Proportional to 22,777.70, 31,431.69 and 13,087.46

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Solution

The fourth proportional to 22,777.70, 31,431.69 and 13,087.46 is: 18,059.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,777.70 : 31,431.69 = 13,087.46 : x
  2. Step 2: Convert to fraction form
    22,777.70/31,431.69 = 13,087.46/x
  3. Step 3: Cross multiply
    22,777.70x = 31,431.69 × 13,087.46
  4. Step 4: Simplify right side
    22,777.70x = 411,360,828.45
  5. Step 5: Solve for x
    x = 411,360,828.45/22,777.70
  6. Step 6: Final answer
    x = 18,059.81

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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.