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Finding the Fourth Proportional to 16,468.45, 24,707.29 and 6,614.64

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Solution

The fourth proportional to 16,468.45, 24,707.29 and 6,614.64 is: 9,923.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,468.45 : 24,707.29 = 6,614.64 : x
  2. Step 2: Convert to fraction form
    16,468.45/24,707.29 = 6,614.64/x
  3. Step 3: Cross multiply
    16,468.45x = 24,707.29 × 6,614.64
  4. Step 4: Simplify right side
    16,468.45x = 163,429,828.73
  5. Step 5: Solve for x
    x = 163,429,828.73/16,468.45
  6. Step 6: Final answer
    x = 9,923.81

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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.