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Finding the Fourth Proportional to 12,299.69, 16,973.48 and 6,994.50

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Solution

The fourth proportional to 12,299.69, 16,973.48 and 6,994.50 is: 9,652.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,299.69 : 16,973.48 = 6,994.50 : x
  2. Step 2: Convert to fraction form
    12,299.69/16,973.48 = 6,994.50/x
  3. Step 3: Cross multiply
    12,299.69x = 16,973.48 × 6,994.50
  4. Step 4: Simplify right side
    12,299.69x = 118,720,997.12
  5. Step 5: Solve for x
    x = 118,720,997.12/12,299.69
  6. Step 6: Final answer
    x = 9,652.36

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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.