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Finding the Fourth Proportional to 16,336.48, 22,540.40 and 10,366

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Solution

The fourth proportional to 16,336.48, 22,540.40 and 10,366 is: 14,302.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,336.48 : 22,540.40 = 10,366 : x
  2. Step 2: Convert to fraction form
    16,336.48/22,540.40 = 10,366/x
  3. Step 3: Cross multiply
    16,336.48x = 22,540.40 × 10,366
  4. Step 4: Simplify right side
    16,336.48x = 233,653,786.40
  5. Step 5: Solve for x
    x = 233,653,786.40/16,336.48
  6. Step 6: Final answer
    x = 14,302.58

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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.