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Finding the Fourth Proportional to 16,172.32, 24,262.38 and 6,815.02

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Solution

The fourth proportional to 16,172.32, 24,262.38 and 6,815.02 is: 10,224.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,172.32 : 24,262.38 = 6,815.02 : x
  2. Step 2: Convert to fraction form
    16,172.32/24,262.38 = 6,815.02/x
  3. Step 3: Cross multiply
    16,172.32x = 24,262.38 × 6,815.02
  4. Step 4: Simplify right side
    16,172.32x = 165,348,604.95
  5. Step 5: Solve for x
    x = 165,348,604.95/16,172.32
  6. Step 6: Final answer
    x = 10,224.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.