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Finding the Fourth Proportional to 17,823.65, 24,602.78 and 10,272.99

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Solution

The fourth proportional to 17,823.65, 24,602.78 and 10,272.99 is: 14,180.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,823.65 : 24,602.78 = 10,272.99 : x
  2. Step 2: Convert to fraction form
    17,823.65/24,602.78 = 10,272.99/x
  3. Step 3: Cross multiply
    17,823.65x = 24,602.78 × 10,272.99
  4. Step 4: Simplify right side
    17,823.65x = 252,744,112.91
  5. Step 5: Solve for x
    x = 252,744,112.91/17,823.65
  6. Step 6: Final answer
    x = 14,180.27

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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.