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Finding the Fourth Proportional to 22,617.81, 31,212.03 and 13,185.75

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Solution

The fourth proportional to 22,617.81, 31,212.03 and 13,185.75 is: 18,196.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,617.81 : 31,212.03 = 13,185.75 : x
  2. Step 2: Convert to fraction form
    22,617.81/31,212.03 = 13,185.75/x
  3. Step 3: Cross multiply
    22,617.81x = 31,212.03 × 13,185.75
  4. Step 4: Simplify right side
    22,617.81x = 411,554,024.57
  5. Step 5: Solve for x
    x = 411,554,024.57/22,617.81
  6. Step 6: Final answer
    x = 18,196.02

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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.