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Finding the Fourth Proportional to 16,908.40, 23,327.64 and 9,833.20

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Solution

The fourth proportional to 16,908.40, 23,327.64 and 9,833.20 is: 13,566.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,908.40 : 23,327.64 = 9,833.20 : x
  2. Step 2: Convert to fraction form
    16,908.40/23,327.64 = 9,833.20/x
  3. Step 3: Cross multiply
    16,908.40x = 23,327.64 × 9,833.20
  4. Step 4: Simplify right side
    16,908.40x = 229,385,349.65
  5. Step 5: Solve for x
    x = 229,385,349.65/16,908.40
  6. Step 6: Final answer
    x = 13,566.35

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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.