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Finding the Fourth Proportional to 13,866, 19,135.14 and 7,578.36

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Solution

The fourth proportional to 13,866, 19,135.14 and 7,578.36 is: 10,458.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,866 : 19,135.14 = 7,578.36 : x
  2. Step 2: Convert to fraction form
    13,866/19,135.14 = 7,578.36/x
  3. Step 3: Cross multiply
    13,866x = 19,135.14 × 7,578.36
  4. Step 4: Simplify right side
    13,866x = 145,012,979.57
  5. Step 5: Solve for x
    x = 145,012,979.57/13,866
  6. Step 6: Final answer
    x = 10,458.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.