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Finding the Fourth Proportional to 17,071.50, 25,610.13 and 7,215.42

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Solution

The fourth proportional to 17,071.50, 25,610.13 and 7,215.42 is: 10,824.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,071.50 : 25,610.13 = 7,215.42 : x
  2. Step 2: Convert to fraction form
    17,071.50/25,610.13 = 7,215.42/x
  3. Step 3: Cross multiply
    17,071.50x = 25,610.13 × 7,215.42
  4. Step 4: Simplify right side
    17,071.50x = 184,787,844.20
  5. Step 5: Solve for x
    x = 184,787,844.20/17,071.50
  6. Step 6: Final answer
    x = 10,824.35

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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.