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Finding the Fourth Proportional to 17,767.67, 24,513.14 and 10,595.75

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Solution

The fourth proportional to 17,767.67, 24,513.14 and 10,595.75 is: 14,618.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,767.67 : 24,513.14 = 10,595.75 : x
  2. Step 2: Convert to fraction form
    17,767.67/24,513.14 = 10,595.75/x
  3. Step 3: Cross multiply
    17,767.67x = 24,513.14 × 10,595.75
  4. Step 4: Simplify right side
    17,767.67x = 259,735,007.08
  5. Step 5: Solve for x
    x = 259,735,007.08/17,767.67
  6. Step 6: Final answer
    x = 14,618.41

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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.