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Finding the Fourth Proportional to 22,713.69, 31,348.21 and 13,639.67

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Solution

The fourth proportional to 22,713.69, 31,348.21 and 13,639.67 is: 18,824.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,713.69 : 31,348.21 = 13,639.67 : x
  2. Step 2: Convert to fraction form
    22,713.69/31,348.21 = 13,639.67/x
  3. Step 3: Cross multiply
    22,713.69x = 31,348.21 × 13,639.67
  4. Step 4: Simplify right side
    22,713.69x = 427,579,239.49
  5. Step 5: Solve for x
    x = 427,579,239.49/22,713.69
  6. Step 6: Final answer
    x = 18,824.74

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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.