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Finding the Fourth Proportional to 14,946.36, 20,625.14 and 8,230.70

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Solution

The fourth proportional to 14,946.36, 20,625.14 and 8,230.70 is: 11,357.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,946.36 : 20,625.14 = 8,230.70 : x
  2. Step 2: Convert to fraction form
    14,946.36/20,625.14 = 8,230.70/x
  3. Step 3: Cross multiply
    14,946.36x = 20,625.14 × 8,230.70
  4. Step 4: Simplify right side
    14,946.36x = 169,759,339.80
  5. Step 5: Solve for x
    x = 169,759,339.80/14,946.36
  6. Step 6: Final answer
    x = 11,357.91

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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.