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Finding the Fourth Proportional to 16,034.14, 24,029.34 and 9,796.33

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Solution

The fourth proportional to 16,034.14, 24,029.34 and 9,796.33 is: 14,681.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,034.14 : 24,029.34 = 9,796.33 : x
  2. Step 2: Convert to fraction form
    16,034.14/24,029.34 = 9,796.33/x
  3. Step 3: Cross multiply
    16,034.14x = 24,029.34 × 9,796.33
  4. Step 4: Simplify right side
    16,034.14x = 235,399,344.32
  5. Step 5: Solve for x
    x = 235,399,344.32/16,034.14
  6. Step 6: Final answer
    x = 14,681.13

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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.