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Finding the Fourth Proportional to 12,027.97, 16,598.71 and 6,650.32

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Solution

The fourth proportional to 12,027.97, 16,598.71 and 6,650.32 is: 9,177.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,027.97 : 16,598.71 = 6,650.32 : x
  2. Step 2: Convert to fraction form
    12,027.97/16,598.71 = 6,650.32/x
  3. Step 3: Cross multiply
    12,027.97x = 16,598.71 × 6,650.32
  4. Step 4: Simplify right side
    12,027.97x = 110,386,699.84
  5. Step 5: Solve for x
    x = 110,386,699.84/12,027.97
  6. Step 6: Final answer
    x = 9,177.50

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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.