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Finding the Fourth Proportional to 19,137.68, 28,689.20 and 6,822.80

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Solution

The fourth proportional to 19,137.68, 28,689.20 and 6,822.80 is: 10,228.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,137.68 : 28,689.20 = 6,822.80 : x
  2. Step 2: Convert to fraction form
    19,137.68/28,689.20 = 6,822.80/x
  3. Step 3: Cross multiply
    19,137.68x = 28,689.20 × 6,822.80
  4. Step 4: Simplify right side
    19,137.68x = 195,740,673.76
  5. Step 5: Solve for x
    x = 195,740,673.76/19,137.68
  6. Step 6: Final answer
    x = 10,228.03

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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.