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Finding the Fourth Proportional to 16,344.96, 24,486.60 and 9,661.50

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Solution

The fourth proportional to 16,344.96, 24,486.60 and 9,661.50 is: 14,474.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,344.96 : 24,486.60 = 9,661.50 : x
  2. Step 2: Convert to fraction form
    16,344.96/24,486.60 = 9,661.50/x
  3. Step 3: Cross multiply
    16,344.96x = 24,486.60 × 9,661.50
  4. Step 4: Simplify right side
    16,344.96x = 236,577,285.90
  5. Step 5: Solve for x
    x = 236,577,285.90/16,344.96
  6. Step 6: Final answer
    x = 14,474.02

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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.