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Finding the Fourth Proportional to 19,922.50, 29,858.16 and 10,039.66

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Solution

The fourth proportional to 19,922.50, 29,858.16 and 10,039.66 is: 15,046.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,922.50 : 29,858.16 = 10,039.66 : x
  2. Step 2: Convert to fraction form
    19,922.50/29,858.16 = 10,039.66/x
  3. Step 3: Cross multiply
    19,922.50x = 29,858.16 × 10,039.66
  4. Step 4: Simplify right side
    19,922.50x = 299,765,774.63
  5. Step 5: Solve for x
    x = 299,765,774.63/19,922.50
  6. Step 6: Final answer
    x = 15,046.59

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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.