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Finding the Fourth Proportional to 17,471.40, 24,106.80 and 11,100

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Solution

The fourth proportional to 17,471.40, 24,106.80 and 11,100 is: 15,315.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,471.40 : 24,106.80 = 11,100 : x
  2. Step 2: Convert to fraction form
    17,471.40/24,106.80 = 11,100/x
  3. Step 3: Cross multiply
    17,471.40x = 24,106.80 × 11,100
  4. Step 4: Simplify right side
    17,471.40x = 267,585,480
  5. Step 5: Solve for x
    x = 267,585,480/17,471.40
  6. Step 6: Final answer
    x = 15,315.63

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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.