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Finding the Fourth Proportional to 19,658.40, 29,491.70 and 6,511.79

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Solution

The fourth proportional to 19,658.40, 29,491.70 and 6,511.79 is: 9,769.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,658.40 : 29,491.70 = 6,511.79 : x
  2. Step 2: Convert to fraction form
    19,658.40/29,491.70 = 6,511.79/x
  3. Step 3: Cross multiply
    19,658.40x = 29,491.70 × 6,511.79
  4. Step 4: Simplify right side
    19,658.40x = 192,043,798.31
  5. Step 5: Solve for x
    x = 192,043,798.31/19,658.40
  6. Step 6: Final answer
    x = 9,769.05

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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.