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Finding the Fourth Proportional to 19,638.50, 27,101.33 and 10,685.98

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Solution

The fourth proportional to 19,638.50, 27,101.33 and 10,685.98 is: 14,746.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,638.50 : 27,101.33 = 10,685.98 : x
  2. Step 2: Convert to fraction form
    19,638.50/27,101.33 = 10,685.98/x
  3. Step 3: Cross multiply
    19,638.50x = 27,101.33 × 10,685.98
  4. Step 4: Simplify right side
    19,638.50x = 289,604,198.54
  5. Step 5: Solve for x
    x = 289,604,198.54/19,638.50
  6. Step 6: Final answer
    x = 14,746.76

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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.