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Finding the Fourth Proportional to 17,813.41, 24,586.58 and 10,264.11

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Solution

The fourth proportional to 17,813.41, 24,586.58 and 10,264.11 is: 14,166.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,813.41 : 24,586.58 = 10,264.11 : x
  2. Step 2: Convert to fraction form
    17,813.41/24,586.58 = 10,264.11/x
  3. Step 3: Cross multiply
    17,813.41x = 24,586.58 × 10,264.11
  4. Step 4: Simplify right side
    17,813.41x = 252,359,361.64
  5. Step 5: Solve for x
    x = 252,359,361.64/17,813.41
  6. Step 6: Final answer
    x = 14,166.82

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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.