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Finding the Fourth Proportional to 12,774.30, 19,167.32 and 5,750.52

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Solution

The fourth proportional to 12,774.30, 19,167.32 and 5,750.52 is: 8,628.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,774.30 : 19,167.32 = 5,750.52 : x
  2. Step 2: Convert to fraction form
    12,774.30/19,167.32 = 5,750.52/x
  3. Step 3: Cross multiply
    12,774.30x = 19,167.32 × 5,750.52
  4. Step 4: Simplify right side
    12,774.30x = 110,222,057.01
  5. Step 5: Solve for x
    x = 110,222,057.01/12,774.30
  6. Step 6: Final answer
    x = 8,628.42

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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.