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Finding the Fourth Proportional to 17,754.30, 24,498.08 and 10,096.76

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Solution

The fourth proportional to 17,754.30, 24,498.08 and 10,096.76 is: 13,931.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,754.30 : 24,498.08 = 10,096.76 : x
  2. Step 2: Convert to fraction form
    17,754.30/24,498.08 = 10,096.76/x
  3. Step 3: Cross multiply
    17,754.30x = 24,498.08 × 10,096.76
  4. Step 4: Simplify right side
    17,754.30x = 247,351,282.85
  5. Step 5: Solve for x
    x = 247,351,282.85/17,754.30
  6. Step 6: Final answer
    x = 13,931.91

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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.