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Finding the Fourth Proportional to 17,249, 25,875.96 and 8,929.94

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Solution

The fourth proportional to 17,249, 25,875.96 and 8,929.94 is: 13,396.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,249 : 25,875.96 = 8,929.94 : x
  2. Step 2: Convert to fraction form
    17,249/25,875.96 = 8,929.94/x
  3. Step 3: Cross multiply
    17,249x = 25,875.96 × 8,929.94
  4. Step 4: Simplify right side
    17,249x = 231,070,770.24
  5. Step 5: Solve for x
    x = 231,070,770.24/17,249
  6. Step 6: Final answer
    x = 13,396.18

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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.