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Finding the Fourth Proportional to 16,284.89, 24,424.80 and 6,288.20

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Solution

The fourth proportional to 16,284.89, 24,424.80 and 6,288.20 is: 9,431.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,284.89 : 24,424.80 = 6,288.20 : x
  2. Step 2: Convert to fraction form
    16,284.89/24,424.80 = 6,288.20/x
  3. Step 3: Cross multiply
    16,284.89x = 24,424.80 × 6,288.20
  4. Step 4: Simplify right side
    16,284.89x = 153,587,905.24
  5. Step 5: Solve for x
    x = 153,587,905.24/16,284.89
  6. Step 6: Final answer
    x = 9,431.32

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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.