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Finding the Fourth Proportional to 12,578.24, 18,842.70 and 7,302.19

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Solution

The fourth proportional to 12,578.24, 18,842.70 and 7,302.19 is: 10,938.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,578.24 : 18,842.70 = 7,302.19 : x
  2. Step 2: Convert to fraction form
    12,578.24/18,842.70 = 7,302.19/x
  3. Step 3: Cross multiply
    12,578.24x = 18,842.70 × 7,302.19
  4. Step 4: Simplify right side
    12,578.24x = 137,592,975.51
  5. Step 5: Solve for x
    x = 137,592,975.51/12,578.24
  6. Step 6: Final answer
    x = 10,938.97

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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.