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Finding the Fourth Proportional to 12,523.85, 17,285.75 and 7,807.22

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Solution

The fourth proportional to 12,523.85, 17,285.75 and 7,807.22 is: 10,775.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,523.85 : 17,285.75 = 7,807.22 : x
  2. Step 2: Convert to fraction form
    12,523.85/17,285.75 = 7,807.22/x
  3. Step 3: Cross multiply
    12,523.85x = 17,285.75 × 7,807.22
  4. Step 4: Simplify right side
    12,523.85x = 134,953,665.66
  5. Step 5: Solve for x
    x = 134,953,665.66/12,523.85
  6. Step 6: Final answer
    x = 10,775.73

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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.