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Finding the Fourth Proportional to 12,015.36, 16,578.36 and 7,299.36

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Solution

The fourth proportional to 12,015.36, 16,578.36 and 7,299.36 is: 10,071.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,015.36 : 16,578.36 = 7,299.36 : x
  2. Step 2: Convert to fraction form
    12,015.36/16,578.36 = 7,299.36/x
  3. Step 3: Cross multiply
    12,015.36x = 16,578.36 × 7,299.36
  4. Step 4: Simplify right side
    12,015.36x = 121,011,417.85
  5. Step 5: Solve for x
    x = 121,011,417.85/12,015.36
  6. Step 6: Final answer
    x = 10,071.39

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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.