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Finding the Fourth Proportional to 13,642.52, 20,460.02 and 9,682.02

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Solution

The fourth proportional to 13,642.52, 20,460.02 and 9,682.02 is: 14,520.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,642.52 : 20,460.02 = 9,682.02 : x
  2. Step 2: Convert to fraction form
    13,642.52/20,460.02 = 9,682.02/x
  3. Step 3: Cross multiply
    13,642.52x = 20,460.02 × 9,682.02
  4. Step 4: Simplify right side
    13,642.52x = 198,094,274.43
  5. Step 5: Solve for x
    x = 198,094,274.43/13,642.52
  6. Step 6: Final answer
    x = 14,520.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.