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Finding the Fourth Proportional to 34,778.36, 52,166.61 and 9,820.13

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Solution

The fourth proportional to 34,778.36, 52,166.61 and 9,820.13 is: 14,729.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,778.36 : 52,166.61 = 9,820.13 : x
  2. Step 2: Convert to fraction form
    34,778.36/52,166.61 = 9,820.13/x
  3. Step 3: Cross multiply
    34,778.36x = 52,166.61 × 9,820.13
  4. Step 4: Simplify right side
    34,778.36x = 512,282,891.86
  5. Step 5: Solve for x
    x = 512,282,891.86/34,778.36
  6. Step 6: Final answer
    x = 14,729.93

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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.