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Finding the Fourth Proportional to 17,638.81, 24,342.21 and 10,085.14

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Solution

The fourth proportional to 17,638.81, 24,342.21 and 10,085.14 is: 13,917.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,638.81 : 24,342.21 = 10,085.14 : x
  2. Step 2: Convert to fraction form
    17,638.81/24,342.21 = 10,085.14/x
  3. Step 3: Cross multiply
    17,638.81x = 24,342.21 × 10,085.14
  4. Step 4: Simplify right side
    17,638.81x = 245,494,595.76
  5. Step 5: Solve for x
    x = 245,494,595.76/17,638.81
  6. Step 6: Final answer
    x = 13,917.87

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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.