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Finding the Fourth Proportional to 12,312.37, 18,475.37 and 7,634.89

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Solution

The fourth proportional to 12,312.37, 18,475.37 and 7,634.89 is: 11,456.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,312.37 : 18,475.37 = 7,634.89 : x
  2. Step 2: Convert to fraction form
    12,312.37/18,475.37 = 7,634.89/x
  3. Step 3: Cross multiply
    12,312.37x = 18,475.37 × 7,634.89
  4. Step 4: Simplify right side
    12,312.37x = 141,057,287.11
  5. Step 5: Solve for x
    x = 141,057,287.11/12,312.37
  6. Step 6: Final answer
    x = 11,456.56

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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.