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Finding the Fourth Proportional to 12,642.35, 17,442.68 and 8,162.01

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Solution

The fourth proportional to 12,642.35, 17,442.68 and 8,162.01 is: 11,261.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,642.35 : 17,442.68 = 8,162.01 : x
  2. Step 2: Convert to fraction form
    12,642.35/17,442.68 = 8,162.01/x
  3. Step 3: Cross multiply
    12,642.35x = 17,442.68 × 8,162.01
  4. Step 4: Simplify right side
    12,642.35x = 142,367,287.78
  5. Step 5: Solve for x
    x = 142,367,287.78/12,642.35
  6. Step 6: Final answer
    x = 11,261.15

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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.