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Finding the Fourth Proportional to 16,505.70, 22,777.80 and 9,794.58

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Solution

The fourth proportional to 16,505.70, 22,777.80 and 9,794.58 is: 13,516.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,505.70 : 22,777.80 = 9,794.58 : x
  2. Step 2: Convert to fraction form
    16,505.70/22,777.80 = 9,794.58/x
  3. Step 3: Cross multiply
    16,505.70x = 22,777.80 × 9,794.58
  4. Step 4: Simplify right side
    16,505.70x = 223,098,984.32
  5. Step 5: Solve for x
    x = 223,098,984.32/16,505.70
  6. Step 6: Final answer
    x = 13,516.48

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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.