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Finding the Fourth Proportional to 13,742.59, 18,963.69 and 8,077.55

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Solution

The fourth proportional to 13,742.59, 18,963.69 and 8,077.55 is: 11,146.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,742.59 : 18,963.69 = 8,077.55 : x
  2. Step 2: Convert to fraction form
    13,742.59/18,963.69 = 8,077.55/x
  3. Step 3: Cross multiply
    13,742.59x = 18,963.69 × 8,077.55
  4. Step 4: Simplify right side
    13,742.59x = 153,180,154.16
  5. Step 5: Solve for x
    x = 153,180,154.16/13,742.59
  6. Step 6: Final answer
    x = 11,146.38

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Why These Related Problems?

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