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Finding the Fourth Proportional to 15,509.69, 23,272.22 and 6,149.50

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Solution

The fourth proportional to 15,509.69, 23,272.22 and 6,149.50 is: 9,227.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,509.69 : 23,272.22 = 6,149.50 : x
  2. Step 2: Convert to fraction form
    15,509.69/23,272.22 = 6,149.50/x
  3. Step 3: Cross multiply
    15,509.69x = 23,272.22 × 6,149.50
  4. Step 4: Simplify right side
    15,509.69x = 143,112,516.89
  5. Step 5: Solve for x
    x = 143,112,516.89/15,509.69
  6. Step 6: Final answer
    x = 9,227.30

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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.