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Finding the Fourth Proportional to 15,163.20, 20,938.14 and 9,507.45

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Solution

The fourth proportional to 15,163.20, 20,938.14 and 9,507.45 is: 13,128.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,163.20 : 20,938.14 = 9,507.45 : x
  2. Step 2: Convert to fraction form
    15,163.20/20,938.14 = 9,507.45/x
  3. Step 3: Cross multiply
    15,163.20x = 20,938.14 × 9,507.45
  4. Step 4: Simplify right side
    15,163.20x = 199,068,319.14
  5. Step 5: Solve for x
    x = 199,068,319.14/15,163.20
  6. Step 6: Final answer
    x = 13,128.38

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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.