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Finding the Fourth Proportional to 22,944.14, 34,409.60 and 6,304.71

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Solution

The fourth proportional to 22,944.14, 34,409.60 and 6,304.71 is: 9,455.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,944.14 : 34,409.60 = 6,304.71 : x
  2. Step 2: Convert to fraction form
    22,944.14/34,409.60 = 6,304.71/x
  3. Step 3: Cross multiply
    22,944.14x = 34,409.60 × 6,304.71
  4. Step 4: Simplify right side
    22,944.14x = 216,942,549.22
  5. Step 5: Solve for x
    x = 216,942,549.22/22,944.14
  6. Step 6: Final answer
    x = 9,455.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.