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Finding the Fourth Proportional to 17,102.59, 25,656.57 and 7,241.92

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Solution

The fourth proportional to 17,102.59, 25,656.57 and 7,241.92 is: 10,864.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,102.59 : 25,656.57 = 7,241.92 : x
  2. Step 2: Convert to fraction form
    17,102.59/25,656.57 = 7,241.92/x
  3. Step 3: Cross multiply
    17,102.59x = 25,656.57 × 7,241.92
  4. Step 4: Simplify right side
    17,102.59x = 185,802,827.41
  5. Step 5: Solve for x
    x = 185,802,827.41/17,102.59
  6. Step 6: Final answer
    x = 10,864.02

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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.