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Finding the Fourth Proportional to 13,515.42, 18,643.50 and 8,134.11

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Solution

The fourth proportional to 13,515.42, 18,643.50 and 8,134.11 is: 11,220.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,515.42 : 18,643.50 = 8,134.11 : x
  2. Step 2: Convert to fraction form
    13,515.42/18,643.50 = 8,134.11/x
  3. Step 3: Cross multiply
    13,515.42x = 18,643.50 × 8,134.11
  4. Step 4: Simplify right side
    13,515.42x = 151,648,279.79
  5. Step 5: Solve for x
    x = 151,648,279.79/13,515.42
  6. Step 6: Final answer
    x = 11,220.39

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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.