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Finding the Fourth Proportional to 16,289.82, 22,474.80 and 9,573.30

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Solution

The fourth proportional to 16,289.82, 22,474.80 and 9,573.30 is: 13,208.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,289.82 : 22,474.80 = 9,573.30 : x
  2. Step 2: Convert to fraction form
    16,289.82/22,474.80 = 9,573.30/x
  3. Step 3: Cross multiply
    16,289.82x = 22,474.80 × 9,573.30
  4. Step 4: Simplify right side
    16,289.82x = 215,158,002.84
  5. Step 5: Solve for x
    x = 215,158,002.84/16,289.82
  6. Step 6: Final answer
    x = 13,208.13

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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.