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Finding the Fourth Proportional to 8,024.35, 12,037.24 and 2,101.22

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Solution

The fourth proportional to 8,024.35, 12,037.24 and 2,101.22 is: 3,152.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,024.35 : 12,037.24 = 2,101.22 : x
  2. Step 2: Convert to fraction form
    8,024.35/12,037.24 = 2,101.22/x
  3. Step 3: Cross multiply
    8,024.35x = 12,037.24 × 2,101.22
  4. Step 4: Simplify right side
    8,024.35x = 25,292,878.93
  5. Step 5: Solve for x
    x = 25,292,878.93/8,024.35
  6. Step 6: Final answer
    x = 3,152.02

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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.