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Finding the Fourth Proportional to 19,660.87, 29,491.35 and 6,509.71

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Solution

The fourth proportional to 19,660.87, 29,491.35 and 6,509.71 is: 9,764.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,660.87 : 29,491.35 = 6,509.71 : x
  2. Step 2: Convert to fraction form
    19,660.87/29,491.35 = 6,509.71/x
  3. Step 3: Cross multiply
    19,660.87x = 29,491.35 × 6,509.71
  4. Step 4: Simplify right side
    19,660.87x = 191,980,136.01
  5. Step 5: Solve for x
    x = 191,980,136.01/19,660.87
  6. Step 6: Final answer
    x = 9,764.58

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