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Finding the Fourth Proportional to 12,114.81, 16,697.88 and 9,242.55

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Solution

The fourth proportional to 12,114.81, 16,697.88 and 9,242.55 is: 12,739.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,114.81 : 16,697.88 = 9,242.55 : x
  2. Step 2: Convert to fraction form
    12,114.81/16,697.88 = 9,242.55/x
  3. Step 3: Cross multiply
    12,114.81x = 16,697.88 × 9,242.55
  4. Step 4: Simplify right side
    12,114.81x = 154,330,990.79
  5. Step 5: Solve for x
    x = 154,330,990.79/12,114.81
  6. Step 6: Final answer
    x = 12,739.04

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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.