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Finding the Fourth Proportional to 17,205.76, 23,744.19 and 10,035.47

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Solution

The fourth proportional to 17,205.76, 23,744.19 and 10,035.47 is: 13,849.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,205.76 : 23,744.19 = 10,035.47 : x
  2. Step 2: Convert to fraction form
    17,205.76/23,744.19 = 10,035.47/x
  3. Step 3: Cross multiply
    17,205.76x = 23,744.19 × 10,035.47
  4. Step 4: Simplify right side
    17,205.76x = 238,284,106.42
  5. Step 5: Solve for x
    x = 238,284,106.42/17,205.76
  6. Step 6: Final answer
    x = 13,849.09

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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.