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Finding the Fourth Proportional to 16,623.68, 24,935.24 and 9,614.24

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Solution

The fourth proportional to 16,623.68, 24,935.24 and 9,614.24 is: 14,421.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,623.68 : 24,935.24 = 9,614.24 : x
  2. Step 2: Convert to fraction form
    16,623.68/24,935.24 = 9,614.24/x
  3. Step 3: Cross multiply
    16,623.68x = 24,935.24 × 9,614.24
  4. Step 4: Simplify right side
    16,623.68x = 239,733,381.82
  5. Step 5: Solve for x
    x = 239,733,381.82/16,623.68
  6. Step 6: Final answer
    x = 14,421.20

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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.