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Finding the Fourth Proportional to 17,678.01, 26,517.02 and 4,530.50

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Solution

The fourth proportional to 17,678.01, 26,517.02 and 4,530.50 is: 6,795.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,678.01 : 26,517.02 = 4,530.50 : x
  2. Step 2: Convert to fraction form
    17,678.01/26,517.02 = 4,530.50/x
  3. Step 3: Cross multiply
    17,678.01x = 26,517.02 × 4,530.50
  4. Step 4: Simplify right side
    17,678.01x = 120,135,203.87
  5. Step 5: Solve for x
    x = 120,135,203.87/17,678.01
  6. Step 6: Final answer
    x = 6,795.74

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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.