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Finding the Fourth Proportional to 15,889.72, 23,819.07 and 7,567.48

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Solution

The fourth proportional to 15,889.72, 23,819.07 and 7,567.48 is: 11,343.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,889.72 : 23,819.07 = 7,567.48 : x
  2. Step 2: Convert to fraction form
    15,889.72/23,819.07 = 7,567.48/x
  3. Step 3: Cross multiply
    15,889.72x = 23,819.07 × 7,567.48
  4. Step 4: Simplify right side
    15,889.72x = 180,250,335.84
  5. Step 5: Solve for x
    x = 180,250,335.84/15,889.72
  6. Step 6: Final answer
    x = 11,343.83

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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.