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Finding the Fourth Proportional to 22,034.37, 30,406.19 and 12,838.72

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Solution

The fourth proportional to 22,034.37, 30,406.19 and 12,838.72 is: 17,716.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,034.37 : 30,406.19 = 12,838.72 : x
  2. Step 2: Convert to fraction form
    22,034.37/30,406.19 = 12,838.72/x
  3. Step 3: Cross multiply
    22,034.37x = 30,406.19 × 12,838.72
  4. Step 4: Simplify right side
    22,034.37x = 390,376,559.68
  5. Step 5: Solve for x
    x = 390,376,559.68/22,034.37
  6. Step 6: Final answer
    x = 17,716.71

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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.