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Finding the Fourth Proportional to 16,303.36, 24,449.92 and 6,943.28

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Solution

The fourth proportional to 16,303.36, 24,449.92 and 6,943.28 is: 10,412.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,303.36 : 24,449.92 = 6,943.28 : x
  2. Step 2: Convert to fraction form
    16,303.36/24,449.92 = 6,943.28/x
  3. Step 3: Cross multiply
    16,303.36x = 24,449.92 × 6,943.28
  4. Step 4: Simplify right side
    16,303.36x = 169,762,640.54
  5. Step 5: Solve for x
    x = 169,762,640.54/16,303.36
  6. Step 6: Final answer
    x = 10,412.74

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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.