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Finding the Fourth Proportional to 34,416.80, 51,625.20 and 12,255.20

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Solution

The fourth proportional to 34,416.80, 51,625.20 and 12,255.20 is: 18,382.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,416.80 : 51,625.20 = 12,255.20 : x
  2. Step 2: Convert to fraction form
    34,416.80/51,625.20 = 12,255.20/x
  3. Step 3: Cross multiply
    34,416.80x = 51,625.20 × 12,255.20
  4. Step 4: Simplify right side
    34,416.80x = 632,677,151.04
  5. Step 5: Solve for x
    x = 632,677,151.04/34,416.80
  6. Step 6: Final answer
    x = 18,382.80

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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.