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Finding the Fourth Proportional to 17,102.36, 25,656.11 and 6,007.10

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Solution

The fourth proportional to 17,102.36, 25,656.11 and 6,007.10 is: 9,011.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,102.36 : 25,656.11 = 6,007.10 : x
  2. Step 2: Convert to fraction form
    17,102.36/25,656.11 = 6,007.10/x
  3. Step 3: Cross multiply
    17,102.36x = 25,656.11 × 6,007.10
  4. Step 4: Simplify right side
    17,102.36x = 154,118,682.59
  5. Step 5: Solve for x
    x = 154,118,682.59/17,102.36
  6. Step 6: Final answer
    x = 9,011.54

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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.