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Finding the Fourth Proportional to 16,475.86, 22,735.20 and 9,760.42

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Solution

The fourth proportional to 16,475.86, 22,735.20 and 9,760.42 is: 13,468.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,475.86 : 22,735.20 = 9,760.42 : x
  2. Step 2: Convert to fraction form
    16,475.86/22,735.20 = 9,760.42/x
  3. Step 3: Cross multiply
    16,475.86x = 22,735.20 × 9,760.42
  4. Step 4: Simplify right side
    16,475.86x = 221,905,100.78
  5. Step 5: Solve for x
    x = 221,905,100.78/16,475.86
  6. Step 6: Final answer
    x = 13,468.50

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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.