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Finding the Fourth Proportional to 34,814.23, 52,221.63 and 9,855.10

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Solution

The fourth proportional to 34,814.23, 52,221.63 and 9,855.10 is: 14,782.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,814.23 : 52,221.63 = 9,855.10 : x
  2. Step 2: Convert to fraction form
    34,814.23/52,221.63 = 9,855.10/x
  3. Step 3: Cross multiply
    34,814.23x = 52,221.63 × 9,855.10
  4. Step 4: Simplify right side
    34,814.23x = 514,649,385.81
  5. Step 5: Solve for x
    x = 514,649,385.81/34,814.23
  6. Step 6: Final answer
    x = 14,782.73

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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.