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Finding the Fourth Proportional to 19,586.75, 27,029.90 and 10,634.32

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Solution

The fourth proportional to 19,586.75, 27,029.90 and 10,634.32 is: 14,675.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,586.75 : 27,029.90 = 10,634.32 : x
  2. Step 2: Convert to fraction form
    19,586.75/27,029.90 = 10,634.32/x
  3. Step 3: Cross multiply
    19,586.75x = 27,029.90 × 10,634.32
  4. Step 4: Simplify right side
    19,586.75x = 287,444,666.54
  5. Step 5: Solve for x
    x = 287,444,666.54/19,586.75
  6. Step 6: Final answer
    x = 14,675.47

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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.