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Finding the Fourth Proportional to 12,827.22, 17,704.52 and 7,523.75

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Solution

The fourth proportional to 12,827.22, 17,704.52 and 7,523.75 is: 10,384.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,827.22 : 17,704.52 = 7,523.75 : x
  2. Step 2: Convert to fraction form
    12,827.22/17,704.52 = 7,523.75/x
  3. Step 3: Cross multiply
    12,827.22x = 17,704.52 × 7,523.75
  4. Step 4: Simplify right side
    12,827.22x = 133,204,303.51
  5. Step 5: Solve for x
    x = 133,204,303.51/12,827.22
  6. Step 6: Final answer
    x = 10,384.50

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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.