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Finding the Fourth Proportional to 17,158.30, 23,682.14 and 10,446.14

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Solution

The fourth proportional to 17,158.30, 23,682.14 and 10,446.14 is: 14,417.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,158.30 : 23,682.14 = 10,446.14 : x
  2. Step 2: Convert to fraction form
    17,158.30/23,682.14 = 10,446.14/x
  3. Step 3: Cross multiply
    17,158.30x = 23,682.14 × 10,446.14
  4. Step 4: Simplify right side
    17,158.30x = 247,386,949.94
  5. Step 5: Solve for x
    x = 247,386,949.94/17,158.30
  6. Step 6: Final answer
    x = 14,417.92

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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.