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Finding the Fourth Proportional to 17,662.71, 26,503.14 and 9,763.76

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Solution

The fourth proportional to 17,662.71, 26,503.14 and 9,763.76 is: 14,650.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,662.71 : 26,503.14 = 9,763.76 : x
  2. Step 2: Convert to fraction form
    17,662.71/26,503.14 = 9,763.76/x
  3. Step 3: Cross multiply
    17,662.71x = 26,503.14 × 9,763.76
  4. Step 4: Simplify right side
    17,662.71x = 258,770,298.21
  5. Step 5: Solve for x
    x = 258,770,298.21/17,662.71
  6. Step 6: Final answer
    x = 14,650.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.