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Finding the Fourth Proportional to 12,803.90, 19,205.85 and 4,039.49

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Solution

The fourth proportional to 12,803.90, 19,205.85 and 4,039.49 is: 6,059.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,803.90 : 19,205.85 = 4,039.49 : x
  2. Step 2: Convert to fraction form
    12,803.90/19,205.85 = 4,039.49/x
  3. Step 3: Cross multiply
    12,803.90x = 19,205.85 × 4,039.49
  4. Step 4: Simplify right side
    12,803.90x = 77,581,839.02
  5. Step 5: Solve for x
    x = 77,581,839.02/12,803.90
  6. Step 6: Final answer
    x = 6,059.24

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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.