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Finding the Fourth Proportional to 16,433.62, 22,670.22 and 9,715.97

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Solution

The fourth proportional to 16,433.62, 22,670.22 and 9,715.97 is: 13,403.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,433.62 : 22,670.22 = 9,715.97 : x
  2. Step 2: Convert to fraction form
    16,433.62/22,670.22 = 9,715.97/x
  3. Step 3: Cross multiply
    16,433.62x = 22,670.22 × 9,715.97
  4. Step 4: Simplify right side
    16,433.62x = 220,263,177.41
  5. Step 5: Solve for x
    x = 220,263,177.41/16,433.62
  6. Step 6: Final answer
    x = 13,403.20

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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.