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Finding the Fourth Proportional to 16,304.86, 24,457.13 and 6,448.70

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Solution

The fourth proportional to 16,304.86, 24,457.13 and 6,448.70 is: 9,672.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,304.86 : 24,457.13 = 6,448.70 : x
  2. Step 2: Convert to fraction form
    16,304.86/24,457.13 = 6,448.70/x
  3. Step 3: Cross multiply
    16,304.86x = 24,457.13 × 6,448.70
  4. Step 4: Simplify right side
    16,304.86x = 157,716,694.23
  5. Step 5: Solve for x
    x = 157,716,694.23/16,304.86
  6. Step 6: Final answer
    x = 9,672.99

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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.