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Finding the Fourth Proportional to 17,758.83, 24,505.88 and 10,205.18

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Solution

The fourth proportional to 17,758.83, 24,505.88 and 10,205.18 is: 14,082.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,758.83 : 24,505.88 = 10,205.18 : x
  2. Step 2: Convert to fraction form
    17,758.83/24,505.88 = 10,205.18/x
  3. Step 3: Cross multiply
    17,758.83x = 24,505.88 × 10,205.18
  4. Step 4: Simplify right side
    17,758.83x = 250,086,916.46
  5. Step 5: Solve for x
    x = 250,086,916.46/17,758.83
  6. Step 6: Final answer
    x = 14,082.40

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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.