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Finding the Fourth Proportional to 13,742.08, 18,963 and 8,077.04

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Solution

The fourth proportional to 13,742.08, 18,963 and 8,077.04 is: 11,145.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,742.08 : 18,963 = 8,077.04 : x
  2. Step 2: Convert to fraction form
    13,742.08/18,963 = 8,077.04/x
  3. Step 3: Cross multiply
    13,742.08x = 18,963 × 8,077.04
  4. Step 4: Simplify right side
    13,742.08x = 153,164,909.52
  5. Step 5: Solve for x
    x = 153,164,909.52/13,742.08
  6. Step 6: Final answer
    x = 11,145.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.