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Finding the Fourth Proportional to 22,638.92, 31,242.52 and 13,684.68

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Solution

The fourth proportional to 22,638.92, 31,242.52 and 13,684.68 is: 18,885.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,638.92 : 31,242.52 = 13,684.68 : x
  2. Step 2: Convert to fraction form
    22,638.92/31,242.52 = 13,684.68/x
  3. Step 3: Cross multiply
    22,638.92x = 31,242.52 × 13,684.68
  4. Step 4: Simplify right side
    22,638.92x = 427,543,888.59
  5. Step 5: Solve for x
    x = 427,543,888.59/22,638.92
  6. Step 6: Final answer
    x = 18,885.35

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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.