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Finding the Fourth Proportional to 11,419.16, 17,127.70 and 4,023.24

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Solution

The fourth proportional to 11,419.16, 17,127.70 and 4,023.24 is: 6,034.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,419.16 : 17,127.70 = 4,023.24 : x
  2. Step 2: Convert to fraction form
    11,419.16/17,127.70 = 4,023.24/x
  3. Step 3: Cross multiply
    11,419.16x = 17,127.70 × 4,023.24
  4. Step 4: Simplify right side
    11,419.16x = 68,908,847.75
  5. Step 5: Solve for x
    x = 68,908,847.75/11,419.16
  6. Step 6: Final answer
    x = 6,034.49

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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.