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Finding the Fourth Proportional to 16,185.16, 22,330.31 and 9,814.31

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Solution

The fourth proportional to 16,185.16, 22,330.31 and 9,814.31 is: 13,540.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,185.16 : 22,330.31 = 9,814.31 : x
  2. Step 2: Convert to fraction form
    16,185.16/22,330.31 = 9,814.31/x
  3. Step 3: Cross multiply
    16,185.16x = 22,330.31 × 9,814.31
  4. Step 4: Simplify right side
    16,185.16x = 219,156,424.01
  5. Step 5: Solve for x
    x = 219,156,424.01/16,185.16
  6. Step 6: Final answer
    x = 13,540.58

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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.