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Finding the Fourth Proportional to 16,468.26, 24,707.01 and 6,614.46

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Solution

The fourth proportional to 16,468.26, 24,707.01 and 6,614.46 is: 9,923.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,468.26 : 24,707.01 = 6,614.46 : x
  2. Step 2: Convert to fraction form
    16,468.26/24,707.01 = 6,614.46/x
  3. Step 3: Cross multiply
    16,468.26x = 24,707.01 × 6,614.46
  4. Step 4: Simplify right side
    16,468.26x = 163,423,529.36
  5. Step 5: Solve for x
    x = 163,423,529.36/16,468.26
  6. Step 6: Final answer
    x = 9,923.55

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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.