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Finding the Fourth Proportional to 16,322.50, 22,523.36 and 9,607.73

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Solution

The fourth proportional to 16,322.50, 22,523.36 and 9,607.73 is: 13,257.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,322.50 : 22,523.36 = 9,607.73 : x
  2. Step 2: Convert to fraction form
    16,322.50/22,523.36 = 9,607.73/x
  3. Step 3: Cross multiply
    16,322.50x = 22,523.36 × 9,607.73
  4. Step 4: Simplify right side
    16,322.50x = 216,398,369.84
  5. Step 5: Solve for x
    x = 216,398,369.84/16,322.50
  6. Step 6: Final answer
    x = 13,257.68

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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.