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Finding the Fourth Proportional to 17,082.96, 23,574.96 and 10,009.68

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Solution

The fourth proportional to 17,082.96, 23,574.96 and 10,009.68 is: 13,813.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,082.96 : 23,574.96 = 10,009.68 : x
  2. Step 2: Convert to fraction form
    17,082.96/23,574.96 = 10,009.68/x
  3. Step 3: Cross multiply
    17,082.96x = 23,574.96 × 10,009.68
  4. Step 4: Simplify right side
    17,082.96x = 235,977,805.61
  5. Step 5: Solve for x
    x = 235,977,805.61/17,082.96
  6. Step 6: Final answer
    x = 13,813.64

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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.