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Finding the Fourth Proportional to 12,476.61, 17,224.35 and 8,230.59

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Solution

The fourth proportional to 12,476.61, 17,224.35 and 8,230.59 is: 11,362.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,476.61 : 17,224.35 = 8,230.59 : x
  2. Step 2: Convert to fraction form
    12,476.61/17,224.35 = 8,230.59/x
  3. Step 3: Cross multiply
    12,476.61x = 17,224.35 × 8,230.59
  4. Step 4: Simplify right side
    12,476.61x = 141,766,562.87
  5. Step 5: Solve for x
    x = 141,766,562.87/12,476.61
  6. Step 6: Final answer
    x = 11,362.59

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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.