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Finding the Fourth Proportional to 22,735.99, 31,377.23 and 13,783.87

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Solution

The fourth proportional to 22,735.99, 31,377.23 and 13,783.87 is: 19,022.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,735.99 : 31,377.23 = 13,783.87 : x
  2. Step 2: Convert to fraction form
    22,735.99/31,377.23 = 13,783.87/x
  3. Step 3: Cross multiply
    22,735.99x = 31,377.23 × 13,783.87
  4. Step 4: Simplify right side
    22,735.99x = 432,499,615.30
  5. Step 5: Solve for x
    x = 432,499,615.30/22,735.99
  6. Step 6: Final answer
    x = 19,022.69

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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.