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Finding the Fourth Proportional to 17,826.30, 24,602.89 and 10,271.17

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Solution

The fourth proportional to 17,826.30, 24,602.89 and 10,271.17 is: 14,175.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,826.30 : 24,602.89 = 10,271.17 : x
  2. Step 2: Convert to fraction form
    17,826.30/24,602.89 = 10,271.17/x
  3. Step 3: Cross multiply
    17,826.30x = 24,602.89 × 10,271.17
  4. Step 4: Simplify right side
    17,826.30x = 252,700,378.50
  5. Step 5: Solve for x
    x = 252,700,378.50/17,826.30
  6. Step 6: Final answer
    x = 14,175.71

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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.