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Finding the Fourth Proportional to 28,231.84, 42,338.44 and 9,507.23

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Solution

The fourth proportional to 28,231.84, 42,338.44 and 9,507.23 is: 14,257.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,231.84 : 42,338.44 = 9,507.23 : x
  2. Step 2: Convert to fraction form
    28,231.84/42,338.44 = 9,507.23/x
  3. Step 3: Cross multiply
    28,231.84x = 42,338.44 × 9,507.23
  4. Step 4: Simplify right side
    28,231.84x = 402,521,357.81
  5. Step 5: Solve for x
    x = 402,521,357.81/28,231.84
  6. Step 6: Final answer
    x = 14,257.71

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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.