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Finding the Fourth Proportional to 19,658.26, 29,490.63 and 9,797.86

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Solution

The fourth proportional to 19,658.26, 29,490.63 and 9,797.86 is: 14,698.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,658.26 : 29,490.63 = 9,797.86 : x
  2. Step 2: Convert to fraction form
    19,658.26/29,490.63 = 9,797.86/x
  3. Step 3: Cross multiply
    19,658.26x = 29,490.63 × 9,797.86
  4. Step 4: Simplify right side
    19,658.26x = 288,945,064.05
  5. Step 5: Solve for x
    x = 288,945,064.05/19,658.26
  6. Step 6: Final answer
    x = 14,698.40

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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.