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Finding the Fourth Proportional to 12,288.25, 16,957.83 and 6,699.25

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Solution

The fourth proportional to 12,288.25, 16,957.83 and 6,699.25 is: 9,244.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,288.25 : 16,957.83 = 6,699.25 : x
  2. Step 2: Convert to fraction form
    12,288.25/16,957.83 = 6,699.25/x
  3. Step 3: Cross multiply
    12,288.25x = 16,957.83 × 6,699.25
  4. Step 4: Simplify right side
    12,288.25x = 113,604,742.63
  5. Step 5: Solve for x
    x = 113,604,742.63/12,288.25
  6. Step 6: Final answer
    x = 9,244.99

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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.