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Finding the Fourth Proportional to 17,010, 25,516.80 and 4,530.24

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Solution

The fourth proportional to 17,010, 25,516.80 and 4,530.24 is: 6,795.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,010 : 25,516.80 = 4,530.24 : x
  2. Step 2: Convert to fraction form
    17,010/25,516.80 = 4,530.24/x
  3. Step 3: Cross multiply
    17,010x = 25,516.80 × 4,530.24
  4. Step 4: Simplify right side
    17,010x = 115,597,228.03
  5. Step 5: Solve for x
    x = 115,597,228.03/17,010
  6. Step 6: Final answer
    x = 6,795.84

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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.