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Finding the Fourth Proportional to 17,510.63, 24,164.66 and 11,223

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Solution

The fourth proportional to 17,510.63, 24,164.66 and 11,223 is: 15,487.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,510.63 : 24,164.66 = 11,223 : x
  2. Step 2: Convert to fraction form
    17,510.63/24,164.66 = 11,223/x
  3. Step 3: Cross multiply
    17,510.63x = 24,164.66 × 11,223
  4. Step 4: Simplify right side
    17,510.63x = 271,200,007.24
  5. Step 5: Solve for x
    x = 271,200,007.24/17,510.63
  6. Step 6: Final answer
    x = 15,487.74

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