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Finding the Fourth Proportional to 16,539.64, 22,825.20 and 9,369.46

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Solution

The fourth proportional to 16,539.64, 22,825.20 and 9,369.46 is: 12,930.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,539.64 : 22,825.20 = 9,369.46 : x
  2. Step 2: Convert to fraction form
    16,539.64/22,825.20 = 9,369.46/x
  3. Step 3: Cross multiply
    16,539.64x = 22,825.20 × 9,369.46
  4. Step 4: Simplify right side
    16,539.64x = 213,859,798.39
  5. Step 5: Solve for x
    x = 213,859,798.39/16,539.64
  6. Step 6: Final answer
    x = 12,930.14

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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.