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Finding the Fourth Proportional to 17,381.32, 23,998.08 and 11,102.20

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Solution

The fourth proportional to 17,381.32, 23,998.08 and 11,102.20 is: 15,328.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,381.32 : 23,998.08 = 11,102.20 : x
  2. Step 2: Convert to fraction form
    17,381.32/23,998.08 = 11,102.20/x
  3. Step 3: Cross multiply
    17,381.32x = 23,998.08 × 11,102.20
  4. Step 4: Simplify right side
    17,381.32x = 266,431,483.78
  5. Step 5: Solve for x
    x = 266,431,483.78/17,381.32
  6. Step 6: Final answer
    x = 15,328.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.