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Finding the Fourth Proportional to 16,771.65, 23,145.31 and 9,698.52

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Solution

The fourth proportional to 16,771.65, 23,145.31 and 9,698.52 is: 13,384.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,771.65 : 23,145.31 = 9,698.52 : x
  2. Step 2: Convert to fraction form
    16,771.65/23,145.31 = 9,698.52/x
  3. Step 3: Cross multiply
    16,771.65x = 23,145.31 × 9,698.52
  4. Step 4: Simplify right side
    16,771.65x = 224,475,251.94
  5. Step 5: Solve for x
    x = 224,475,251.94/16,771.65
  6. Step 6: Final answer
    x = 13,384.21

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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.