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Finding the Fourth Proportional to 22,735.69, 31,370.02 and 13,781.35

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Solution

The fourth proportional to 22,735.69, 31,370.02 and 13,781.35 is: 19,015.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,735.69 : 31,370.02 = 13,781.35 : x
  2. Step 2: Convert to fraction form
    22,735.69/31,370.02 = 13,781.35/x
  3. Step 3: Cross multiply
    22,735.69x = 31,370.02 × 13,781.35
  4. Step 4: Simplify right side
    22,735.69x = 432,321,225.13
  5. Step 5: Solve for x
    x = 432,321,225.13/22,735.69
  6. Step 6: Final answer
    x = 19,015.09

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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.