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Finding the Fourth Proportional to 16,612.72, 24,928.38 and 9,216.16

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Solution

The fourth proportional to 16,612.72, 24,928.38 and 9,216.16 is: 13,829.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,612.72 : 24,928.38 = 9,216.16 : x
  2. Step 2: Convert to fraction form
    16,612.72/24,928.38 = 9,216.16/x
  3. Step 3: Cross multiply
    16,612.72x = 24,928.38 × 9,216.16
  4. Step 4: Simplify right side
    16,612.72x = 229,743,938.62
  5. Step 5: Solve for x
    x = 229,743,938.62/16,612.72
  6. Step 6: Final answer
    x = 13,829.40

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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.