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Finding the Fourth Proportional to 16,364.16, 24,549.30 and 8,964.54

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Solution

The fourth proportional to 16,364.16, 24,549.30 and 8,964.54 is: 13,448.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,364.16 : 24,549.30 = 8,964.54 : x
  2. Step 2: Convert to fraction form
    16,364.16/24,549.30 = 8,964.54/x
  3. Step 3: Cross multiply
    16,364.16x = 24,549.30 × 8,964.54
  4. Step 4: Simplify right side
    16,364.16x = 220,073,181.82
  5. Step 5: Solve for x
    x = 220,073,181.82/16,364.16
  6. Step 6: Final answer
    x = 13,448.49

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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.