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Finding the Fourth Proportional to 16,633.50, 22,954.28 and 9,559.46

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Solution

The fourth proportional to 16,633.50, 22,954.28 and 9,559.46 is: 13,192.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,633.50 : 22,954.28 = 9,559.46 : x
  2. Step 2: Convert to fraction form
    16,633.50/22,954.28 = 9,559.46/x
  3. Step 3: Cross multiply
    16,633.50x = 22,954.28 × 9,559.46
  4. Step 4: Simplify right side
    16,633.50x = 219,430,521.49
  5. Step 5: Solve for x
    x = 219,430,521.49/16,633.50
  6. Step 6: Final answer
    x = 13,192.08

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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.