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Finding the Fourth Proportional to 22,727.67, 31,364.10 and 12,656.24

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Solution

The fourth proportional to 22,727.67, 31,364.10 and 12,656.24 is: 17,465.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,727.67 : 31,364.10 = 12,656.24 : x
  2. Step 2: Convert to fraction form
    22,727.67/31,364.10 = 12,656.24/x
  3. Step 3: Cross multiply
    22,727.67x = 31,364.10 × 12,656.24
  4. Step 4: Simplify right side
    22,727.67x = 396,951,420.16
  5. Step 5: Solve for x
    x = 396,951,420.16/22,727.67
  6. Step 6: Final answer
    x = 17,465.56

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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.