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Finding the Fourth Proportional to 19,658.18, 29,491.86 and 6,510.54

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Solution

The fourth proportional to 19,658.18, 29,491.86 and 6,510.54 is: 9,767.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,658.18 : 29,491.86 = 6,510.54 : x
  2. Step 2: Convert to fraction form
    19,658.18/29,491.86 = 6,510.54/x
  3. Step 3: Cross multiply
    19,658.18x = 29,491.86 × 6,510.54
  4. Step 4: Simplify right side
    19,658.18x = 192,008,069.21
  5. Step 5: Solve for x
    x = 192,008,069.21/19,658.18
  6. Step 6: Final answer
    x = 9,767.34

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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.