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Finding the Fourth Proportional to 12,295.77, 16,968 and 6,990.24

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Solution

The fourth proportional to 12,295.77, 16,968 and 6,990.24 is: 9,646.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,295.77 : 16,968 = 6,990.24 : x
  2. Step 2: Convert to fraction form
    12,295.77/16,968 = 6,990.24/x
  3. Step 3: Cross multiply
    12,295.77x = 16,968 × 6,990.24
  4. Step 4: Simplify right side
    12,295.77x = 118,610,392.32
  5. Step 5: Solve for x
    x = 118,610,392.32/12,295.77
  6. Step 6: Final answer
    x = 9,646.44

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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.