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Finding the Fourth Proportional to 11,635.20, 17,373.99 and 9,142.02

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Solution

The fourth proportional to 11,635.20, 17,373.99 and 9,142.02 is: 13,651.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,635.20 : 17,373.99 = 9,142.02 : x
  2. Step 2: Convert to fraction form
    11,635.20/17,373.99 = 9,142.02/x
  3. Step 3: Cross multiply
    11,635.20x = 17,373.99 × 9,142.02
  4. Step 4: Simplify right side
    11,635.20x = 158,833,364.06
  5. Step 5: Solve for x
    x = 158,833,364.06/11,635.20
  6. Step 6: Final answer
    x = 13,651.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.