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Finding the Fourth Proportional to 17,704.08, 24,427.70 and 10,247.76

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Solution

The fourth proportional to 17,704.08, 24,427.70 and 10,247.76 is: 14,139.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,704.08 : 24,427.70 = 10,247.76 : x
  2. Step 2: Convert to fraction form
    17,704.08/24,427.70 = 10,247.76/x
  3. Step 3: Cross multiply
    17,704.08x = 24,427.70 × 10,247.76
  4. Step 4: Simplify right side
    17,704.08x = 250,329,206.95
  5. Step 5: Solve for x
    x = 250,329,206.95/17,704.08
  6. Step 6: Final answer
    x = 14,139.63

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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.