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Finding the Fourth Proportional to 15,006.50, 22,509.99 and 5,152.69

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Solution

The fourth proportional to 15,006.50, 22,509.99 and 5,152.69 is: 7,729.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,006.50 : 22,509.99 = 5,152.69 : x
  2. Step 2: Convert to fraction form
    15,006.50/22,509.99 = 5,152.69/x
  3. Step 3: Cross multiply
    15,006.50x = 22,509.99 × 5,152.69
  4. Step 4: Simplify right side
    15,006.50x = 115,987,028.51
  5. Step 5: Solve for x
    x = 115,987,028.51/15,006.50
  6. Step 6: Final answer
    x = 7,729.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.