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Finding the Fourth Proportional to 22,723.87, 31,362.76 and 14,655.25

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Solution

The fourth proportional to 22,723.87, 31,362.76 and 14,655.25 is: 20,226.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,723.87 : 31,362.76 = 14,655.25 : x
  2. Step 2: Convert to fraction form
    22,723.87/31,362.76 = 14,655.25/x
  3. Step 3: Cross multiply
    22,723.87x = 31,362.76 × 14,655.25
  4. Step 4: Simplify right side
    22,723.87x = 459,629,088.49
  5. Step 5: Solve for x
    x = 459,629,088.49/22,723.87
  6. Step 6: Final answer
    x = 20,226.71

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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.