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Finding the Fourth Proportional to 17,562.84, 26,360.72 and 9,249

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Solution

The fourth proportional to 17,562.84, 26,360.72 and 9,249 is: 13,882.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,562.84 : 26,360.72 = 9,249 : x
  2. Step 2: Convert to fraction form
    17,562.84/26,360.72 = 9,249/x
  3. Step 3: Cross multiply
    17,562.84x = 26,360.72 × 9,249
  4. Step 4: Simplify right side
    17,562.84x = 243,810,299.28
  5. Step 5: Solve for x
    x = 243,810,299.28/17,562.84
  6. Step 6: Final answer
    x = 13,882.17

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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.