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Finding the Fourth Proportional to 17,197.64, 25,801.50 and 7,207.16

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Solution

The fourth proportional to 17,197.64, 25,801.50 and 7,207.16 is: 10,812.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,197.64 : 25,801.50 = 7,207.16 : x
  2. Step 2: Convert to fraction form
    17,197.64/25,801.50 = 7,207.16/x
  3. Step 3: Cross multiply
    17,197.64x = 25,801.50 × 7,207.16
  4. Step 4: Simplify right side
    17,197.64x = 185,955,538.74
  5. Step 5: Solve for x
    x = 185,955,538.74/17,197.64
  6. Step 6: Final answer
    x = 10,812.85

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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.