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Finding the Fourth Proportional to 19,798.18, 29,697.67 and 7,311.77

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Solution

The fourth proportional to 19,798.18, 29,697.67 and 7,311.77 is: 10,967.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,798.18 : 29,697.67 = 7,311.77 : x
  2. Step 2: Convert to fraction form
    19,798.18/29,697.67 = 7,311.77/x
  3. Step 3: Cross multiply
    19,798.18x = 29,697.67 × 7,311.77
  4. Step 4: Simplify right side
    19,798.18x = 217,142,532.58
  5. Step 5: Solve for x
    x = 217,142,532.58/19,798.18
  6. Step 6: Final answer
    x = 10,967.80

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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.