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Finding the Fourth Proportional to 12,527.30, 18,790.94 and 5,131.78

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Solution

The fourth proportional to 12,527.30, 18,790.94 and 5,131.78 is: 7,697.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,527.30 : 18,790.94 = 5,131.78 : x
  2. Step 2: Convert to fraction form
    12,527.30/18,790.94 = 5,131.78/x
  3. Step 3: Cross multiply
    12,527.30x = 18,790.94 × 5,131.78
  4. Step 4: Simplify right side
    12,527.30x = 96,430,935.93
  5. Step 5: Solve for x
    x = 96,430,935.93/12,527.30
  6. Step 6: Final answer
    x = 7,697.66

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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.