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Finding the Fourth Proportional to 12,774.63, 19,173.57 and 6,538.95

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Solution

The fourth proportional to 12,774.63, 19,173.57 and 6,538.95 is: 9,814.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,774.63 : 19,173.57 = 6,538.95 : x
  2. Step 2: Convert to fraction form
    12,774.63/19,173.57 = 6,538.95/x
  3. Step 3: Cross multiply
    12,774.63x = 19,173.57 × 6,538.95
  4. Step 4: Simplify right side
    12,774.63x = 125,375,015.55
  5. Step 5: Solve for x
    x = 125,375,015.55/12,774.63
  6. Step 6: Final answer
    x = 9,814.38

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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.