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Finding the Fourth Proportional to 12,823.25, 19,232.94 and 4,057.02

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Solution

The fourth proportional to 12,823.25, 19,232.94 and 4,057.02 is: 6,084.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,823.25 : 19,232.94 = 4,057.02 : x
  2. Step 2: Convert to fraction form
    12,823.25/19,232.94 = 4,057.02/x
  3. Step 3: Cross multiply
    12,823.25x = 19,232.94 × 4,057.02
  4. Step 4: Simplify right side
    12,823.25x = 78,028,401.95
  5. Step 5: Solve for x
    x = 78,028,401.95/12,823.25
  6. Step 6: Final answer
    x = 6,084.92

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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.