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Finding the Fourth Proportional to 12,774.52, 19,169.16 and 5,378.32

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Solution

The fourth proportional to 12,774.52, 19,169.16 and 5,378.32 is: 8,070.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,774.52 : 19,169.16 = 5,378.32 : x
  2. Step 2: Convert to fraction form
    12,774.52/19,169.16 = 5,378.32/x
  3. Step 3: Cross multiply
    12,774.52x = 19,169.16 × 5,378.32
  4. Step 4: Simplify right side
    12,774.52x = 103,097,876.61
  5. Step 5: Solve for x
    x = 103,097,876.61/12,774.52
  6. Step 6: Final answer
    x = 8,070.59

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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.