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Finding the Fourth Proportional to 15,790.51, 23,677.82 and 5,256.80

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Solution

The fourth proportional to 15,790.51, 23,677.82 and 5,256.80 is: 7,882.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,790.51 : 23,677.82 = 5,256.80 : x
  2. Step 2: Convert to fraction form
    15,790.51/23,677.82 = 5,256.80/x
  3. Step 3: Cross multiply
    15,790.51x = 23,677.82 × 5,256.80
  4. Step 4: Simplify right side
    15,790.51x = 124,469,528.01
  5. Step 5: Solve for x
    x = 124,469,528.01/15,790.51
  6. Step 6: Final answer
    x = 7,882.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.