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Finding the Fourth Proportional to 12,820.70, 19,229.40 and 5,028.50

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Solution

The fourth proportional to 12,820.70, 19,229.40 and 5,028.50 is: 7,542.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,820.70 : 19,229.40 = 5,028.50 : x
  2. Step 2: Convert to fraction form
    12,820.70/19,229.40 = 5,028.50/x
  3. Step 3: Cross multiply
    12,820.70x = 19,229.40 × 5,028.50
  4. Step 4: Simplify right side
    12,820.70x = 96,695,037.90
  5. Step 5: Solve for x
    x = 96,695,037.90/12,820.70
  6. Step 6: Final answer
    x = 7,542.10

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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.