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Finding the Fourth Proportional to 16,318.60, 22,518.12 and 9,245

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Solution

The fourth proportional to 16,318.60, 22,518.12 and 9,245 is: 12,757.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,318.60 : 22,518.12 = 9,245 : x
  2. Step 2: Convert to fraction form
    16,318.60/22,518.12 = 9,245/x
  3. Step 3: Cross multiply
    16,318.60x = 22,518.12 × 9,245
  4. Step 4: Simplify right side
    16,318.60x = 208,180,019.40
  5. Step 5: Solve for x
    x = 208,180,019.40/16,318.60
  6. Step 6: Final answer
    x = 12,757.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.