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Finding the Fourth Proportional to 18,658.80, 25,749.36 and 10,701

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Solution

The fourth proportional to 18,658.80, 25,749.36 and 10,701 is: 14,767.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,658.80 : 25,749.36 = 10,701 : x
  2. Step 2: Convert to fraction form
    18,658.80/25,749.36 = 10,701/x
  3. Step 3: Cross multiply
    18,658.80x = 25,749.36 × 10,701
  4. Step 4: Simplify right side
    18,658.80x = 275,543,901.36
  5. Step 5: Solve for x
    x = 275,543,901.36/18,658.80
  6. Step 6: Final answer
    x = 14,767.50

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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.