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Finding the Fourth Proportional to 27,462.24, 41,205.64 and 12,663.24

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Solution

The fourth proportional to 27,462.24, 41,205.64 and 12,663.24 is: 19,000.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,462.24 : 41,205.64 = 12,663.24 : x
  2. Step 2: Convert to fraction form
    27,462.24/41,205.64 = 12,663.24/x
  3. Step 3: Cross multiply
    27,462.24x = 41,205.64 × 12,663.24
  4. Step 4: Simplify right side
    27,462.24x = 521,796,908.67
  5. Step 5: Solve for x
    x = 521,796,908.67/27,462.24
  6. Step 6: Final answer
    x = 19,000.52

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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.