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Finding the Fourth Proportional to 12,114.94, 16,698.04 and 9,242.68

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Solution

The fourth proportional to 12,114.94, 16,698.04 and 9,242.68 is: 12,739.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,114.94 : 16,698.04 = 9,242.68 : x
  2. Step 2: Convert to fraction form
    12,114.94/16,698.04 = 9,242.68/x
  3. Step 3: Cross multiply
    12,114.94x = 16,698.04 × 9,242.68
  4. Step 4: Simplify right side
    12,114.94x = 154,334,640.35
  5. Step 5: Solve for x
    x = 154,334,640.35/12,114.94
  6. Step 6: Final answer
    x = 12,739.20

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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.