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Finding the Fourth Proportional to 16,583.87, 22,885.20 and 9,867.96

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Solution

The fourth proportional to 16,583.87, 22,885.20 and 9,867.96 is: 13,617.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,583.87 : 22,885.20 = 9,867.96 : x
  2. Step 2: Convert to fraction form
    16,583.87/22,885.20 = 9,867.96/x
  3. Step 3: Cross multiply
    16,583.87x = 22,885.20 × 9,867.96
  4. Step 4: Simplify right side
    16,583.87x = 225,830,238.19
  5. Step 5: Solve for x
    x = 225,830,238.19/16,583.87
  6. Step 6: Final answer
    x = 13,617.46

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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.