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Finding the Fourth Proportional to 19,709.73, 29,564.90 and 6,562.11

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Solution

The fourth proportional to 19,709.73, 29,564.90 and 6,562.11 is: 9,843.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,709.73 : 29,564.90 = 6,562.11 : x
  2. Step 2: Convert to fraction form
    19,709.73/29,564.90 = 6,562.11/x
  3. Step 3: Cross multiply
    19,709.73x = 29,564.90 × 6,562.11
  4. Step 4: Simplify right side
    19,709.73x = 194,008,228.60
  5. Step 5: Solve for x
    x = 194,008,228.60/19,709.73
  6. Step 6: Final answer
    x = 9,843.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.