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Finding the Fourth Proportional to 19,578.51, 29,370.20 and 9,715.14

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Solution

The fourth proportional to 19,578.51, 29,370.20 and 9,715.14 is: 14,573.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,578.51 : 29,370.20 = 9,715.14 : x
  2. Step 2: Convert to fraction form
    19,578.51/29,370.20 = 9,715.14/x
  3. Step 3: Cross multiply
    19,578.51x = 29,370.20 × 9,715.14
  4. Step 4: Simplify right side
    19,578.51x = 285,335,556.25
  5. Step 5: Solve for x
    x = 285,335,556.25/19,578.51
  6. Step 6: Final answer
    x = 14,573.92

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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.