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Finding the Fourth Proportional to 16,012.14, 22,096.29 and 9,298.32

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Solution

The fourth proportional to 16,012.14, 22,096.29 and 9,298.32 is: 12,831.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,012.14 : 22,096.29 = 9,298.32 : x
  2. Step 2: Convert to fraction form
    16,012.14/22,096.29 = 9,298.32/x
  3. Step 3: Cross multiply
    16,012.14x = 22,096.29 × 9,298.32
  4. Step 4: Simplify right side
    16,012.14x = 205,458,375.23
  5. Step 5: Solve for x
    x = 205,458,375.23/16,012.14
  6. Step 6: Final answer
    x = 12,831.41

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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.