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Finding the Fourth Proportional to 16,206.17, 24,317.11 and 7,327.63

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Solution

The fourth proportional to 16,206.17, 24,317.11 and 7,327.63 is: 10,995.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,206.17 : 24,317.11 = 7,327.63 : x
  2. Step 2: Convert to fraction form
    16,206.17/24,317.11 = 7,327.63/x
  3. Step 3: Cross multiply
    16,206.17x = 24,317.11 × 7,327.63
  4. Step 4: Simplify right side
    16,206.17x = 178,186,869.90
  5. Step 5: Solve for x
    x = 178,186,869.90/16,206.17
  6. Step 6: Final answer
    x = 10,995.00

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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.