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Finding the Fourth Proportional to 18,678.74, 25,776.78 and 10,295.24

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Solution

The fourth proportional to 18,678.74, 25,776.78 and 10,295.24 is: 14,207.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,678.74 : 25,776.78 = 10,295.24 : x
  2. Step 2: Convert to fraction form
    18,678.74/25,776.78 = 10,295.24/x
  3. Step 3: Cross multiply
    18,678.74x = 25,776.78 × 10,295.24
  4. Step 4: Simplify right side
    18,678.74x = 265,378,136.53
  5. Step 5: Solve for x
    x = 265,378,136.53/18,678.74
  6. Step 6: Final answer
    x = 14,207.50

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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.