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Finding the Fourth Proportional to 17,765.92, 24,516.84 and 9,808.14

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Solution

The fourth proportional to 17,765.92, 24,516.84 and 9,808.14 is: 13,535.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,765.92 : 24,516.84 = 9,808.14 : x
  2. Step 2: Convert to fraction form
    17,765.92/24,516.84 = 9,808.14/x
  3. Step 3: Cross multiply
    17,765.92x = 24,516.84 × 9,808.14
  4. Step 4: Simplify right side
    17,765.92x = 240,464,599.08
  5. Step 5: Solve for x
    x = 240,464,599.08/17,765.92
  6. Step 6: Final answer
    x = 13,535.16

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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.