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Finding the Fourth Proportional to 12,774.17, 19,164.69 and 4,454.66

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Solution

The fourth proportional to 12,774.17, 19,164.69 and 4,454.66 is: 6,683.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,774.17 : 19,164.69 = 4,454.66 : x
  2. Step 2: Convert to fraction form
    12,774.17/19,164.69 = 4,454.66/x
  3. Step 3: Cross multiply
    12,774.17x = 19,164.69 × 4,454.66
  4. Step 4: Simplify right side
    12,774.17x = 85,372,082.13
  5. Step 5: Solve for x
    x = 85,372,082.13/12,774.17
  6. Step 6: Final answer
    x = 6,683.18

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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.