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Finding the Fourth Proportional to 19,828.89, 29,716.89 and 10,466.70

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Solution

The fourth proportional to 19,828.89, 29,716.89 and 10,466.70 is: 15,686.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,828.89 : 29,716.89 = 10,466.70 : x
  2. Step 2: Convert to fraction form
    19,828.89/29,716.89 = 10,466.70/x
  3. Step 3: Cross multiply
    19,828.89x = 29,716.89 × 10,466.70
  4. Step 4: Simplify right side
    19,828.89x = 311,037,772.56
  5. Step 5: Solve for x
    x = 311,037,772.56/19,828.89
  6. Step 6: Final answer
    x = 15,686.09

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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.