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Finding the Fourth Proportional to 16,145.14, 22,279.44 and 9,071.32

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Solution

The fourth proportional to 16,145.14, 22,279.44 and 9,071.32 is: 12,517.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,145.14 : 22,279.44 = 9,071.32 : x
  2. Step 2: Convert to fraction form
    16,145.14/22,279.44 = 9,071.32/x
  3. Step 3: Cross multiply
    16,145.14x = 22,279.44 × 9,071.32
  4. Step 4: Simplify right side
    16,145.14x = 202,103,929.66
  5. Step 5: Solve for x
    x = 202,103,929.66/16,145.14
  6. Step 6: Final answer
    x = 12,517.94

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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.