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Finding the Fourth Proportional to 17,638.61, 24,340.23 and 10,083.74

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Solution

The fourth proportional to 17,638.61, 24,340.23 and 10,083.74 is: 13,914.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,638.61 : 24,340.23 = 10,083.74 : x
  2. Step 2: Convert to fraction form
    17,638.61/24,340.23 = 10,083.74/x
  3. Step 3: Cross multiply
    17,638.61x = 24,340.23 × 10,083.74
  4. Step 4: Simplify right side
    17,638.61x = 245,440,429.16
  5. Step 5: Solve for x
    x = 245,440,429.16/17,638.61
  6. Step 6: Final answer
    x = 13,914.96

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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.