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Finding the Fourth Proportional to 16,442.16, 24,680.79 and 7,086.80

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Solution

The fourth proportional to 16,442.16, 24,680.79 and 7,086.80 is: 10,637.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,442.16 : 24,680.79 = 7,086.80 : x
  2. Step 2: Convert to fraction form
    16,442.16/24,680.79 = 7,086.80/x
  3. Step 3: Cross multiply
    16,442.16x = 24,680.79 × 7,086.80
  4. Step 4: Simplify right side
    16,442.16x = 174,907,699.17
  5. Step 5: Solve for x
    x = 174,907,699.17/16,442.16
  6. Step 6: Final answer
    x = 10,637.76

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