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Finding the Fourth Proportional to 22,684.86, 31,305.23 and 13,730.12

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Solution

The fourth proportional to 22,684.86, 31,305.23 and 13,730.12 is: 18,947.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,684.86 : 31,305.23 = 13,730.12 : x
  2. Step 2: Convert to fraction form
    22,684.86/31,305.23 = 13,730.12/x
  3. Step 3: Cross multiply
    22,684.86x = 31,305.23 × 13,730.12
  4. Step 4: Simplify right side
    22,684.86x = 429,824,508.23
  5. Step 5: Solve for x
    x = 429,824,508.23/22,684.86
  6. Step 6: Final answer
    x = 18,947.64

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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.