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Finding the Fourth Proportional to 15,819.48, 23,772.33 and 8,429.22

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Solution

The fourth proportional to 15,819.48, 23,772.33 and 8,429.22 is: 12,666.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,819.48 : 23,772.33 = 8,429.22 : x
  2. Step 2: Convert to fraction form
    15,819.48/23,772.33 = 8,429.22/x
  3. Step 3: Cross multiply
    15,819.48x = 23,772.33 × 8,429.22
  4. Step 4: Simplify right side
    15,819.48x = 200,382,199.48
  5. Step 5: Solve for x
    x = 200,382,199.48/15,819.48
  6. Step 6: Final answer
    x = 12,666.80

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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.