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Finding the Fourth Proportional to 12,028.04, 16,567.74 and 8,485.16

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Solution

The fourth proportional to 12,028.04, 16,567.74 and 8,485.16 is: 11,687.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,028.04 : 16,567.74 = 8,485.16 : x
  2. Step 2: Convert to fraction form
    12,028.04/16,567.74 = 8,485.16/x
  3. Step 3: Cross multiply
    12,028.04x = 16,567.74 × 8,485.16
  4. Step 4: Simplify right side
    12,028.04x = 140,579,924.74
  5. Step 5: Solve for x
    x = 140,579,924.74/12,028.04
  6. Step 6: Final answer
    x = 11,687.68

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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.