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Finding the Fourth Proportional to 12,903.72, 17,767.38 and 11,301.12

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Solution

The fourth proportional to 12,903.72, 17,767.38 and 11,301.12 is: 15,560.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,903.72 : 17,767.38 = 11,301.12 : x
  2. Step 2: Convert to fraction form
    12,903.72/17,767.38 = 11,301.12/x
  3. Step 3: Cross multiply
    12,903.72x = 17,767.38 × 11,301.12
  4. Step 4: Simplify right side
    12,903.72x = 200,791,293.47
  5. Step 5: Solve for x
    x = 200,791,293.47/12,903.72
  6. Step 6: Final answer
    x = 15,560.73

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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.