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Finding the Fourth Proportional to 12,527.38, 18,791.07 and 5,597.02

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Solution

The fourth proportional to 12,527.38, 18,791.07 and 5,597.02 is: 8,395.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,527.38 : 18,791.07 = 5,597.02 : x
  2. Step 2: Convert to fraction form
    12,527.38/18,791.07 = 5,597.02/x
  3. Step 3: Cross multiply
    12,527.38x = 18,791.07 × 5,597.02
  4. Step 4: Simplify right side
    12,527.38x = 105,173,922.89
  5. Step 5: Solve for x
    x = 105,173,922.89/12,527.38
  6. Step 6: Final answer
    x = 8,395.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.