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Finding the Fourth Proportional to 14,911.90, 20,578.05 and 8,197.00

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Solution

The fourth proportional to 14,911.90, 20,578.05 and 8,197.00 is: 11,311.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,911.90 : 20,578.05 = 8,197.00 : x
  2. Step 2: Convert to fraction form
    14,911.90/20,578.05 = 8,197.00/x
  3. Step 3: Cross multiply
    14,911.90x = 20,578.05 × 8,197.00
  4. Step 4: Simplify right side
    14,911.90x = 168,678,224.40
  5. Step 5: Solve for x
    x = 168,678,224.40/14,911.90
  6. Step 6: Final answer
    x = 11,311.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.