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Finding the Fourth Proportional to 16,807.14, 23,190.93 and 9,732.42

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Solution

The fourth proportional to 16,807.14, 23,190.93 and 9,732.42 is: 13,429.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,807.14 : 23,190.93 = 9,732.42 : x
  2. Step 2: Convert to fraction form
    16,807.14/23,190.93 = 9,732.42/x
  3. Step 3: Cross multiply
    16,807.14x = 23,190.93 × 9,732.42
  4. Step 4: Simplify right side
    16,807.14x = 225,703,870.95
  5. Step 5: Solve for x
    x = 225,703,870.95/16,807.14
  6. Step 6: Final answer
    x = 13,429.05

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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.