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Finding the Fourth Proportional to 13,865.91, 19,135 and 7,578.42

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Solution

The fourth proportional to 13,865.91, 19,135 and 7,578.42 is: 10,458.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,865.91 : 19,135 = 7,578.42 : x
  2. Step 2: Convert to fraction form
    13,865.91/19,135 = 7,578.42/x
  3. Step 3: Cross multiply
    13,865.91x = 19,135 × 7,578.42
  4. Step 4: Simplify right side
    13,865.91x = 145,013,066.70
  5. Step 5: Solve for x
    x = 145,013,066.70/13,865.91
  6. Step 6: Final answer
    x = 10,458.24

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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.