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Finding the Fourth Proportional to 17,826.14, 24,599.70 and 9,868.30

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Solution

The fourth proportional to 17,826.14, 24,599.70 and 9,868.30 is: 13,618.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,826.14 : 24,599.70 = 9,868.30 : x
  2. Step 2: Convert to fraction form
    17,826.14/24,599.70 = 9,868.30/x
  3. Step 3: Cross multiply
    17,826.14x = 24,599.70 × 9,868.30
  4. Step 4: Simplify right side
    17,826.14x = 242,757,158.01
  5. Step 5: Solve for x
    x = 242,757,158.01/17,826.14
  6. Step 6: Final answer
    x = 13,618.04

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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.