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Finding the Fourth Proportional to 17,811.10, 26,708.54 and 9,488.98

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Solution

The fourth proportional to 17,811.10, 26,708.54 and 9,488.98 is: 14,229.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,811.10 : 26,708.54 = 9,488.98 : x
  2. Step 2: Convert to fraction form
    17,811.10/26,708.54 = 9,488.98/x
  3. Step 3: Cross multiply
    17,811.10x = 26,708.54 × 9,488.98
  4. Step 4: Simplify right side
    17,811.10x = 253,436,801.89
  5. Step 5: Solve for x
    x = 253,436,801.89/17,811.10
  6. Step 6: Final answer
    x = 14,229.15

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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.