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Finding the Fourth Proportional to 19,828.67, 29,730.57 and 10,462.79

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Solution

The fourth proportional to 19,828.67, 29,730.57 and 10,462.79 is: 15,687.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,828.67 : 29,730.57 = 10,462.79 : x
  2. Step 2: Convert to fraction form
    19,828.67/29,730.57 = 10,462.79/x
  3. Step 3: Cross multiply
    19,828.67x = 29,730.57 × 10,462.79
  4. Step 4: Simplify right side
    19,828.67x = 311,064,710.49
  5. Step 5: Solve for x
    x = 311,064,710.49/19,828.67
  6. Step 6: Final answer
    x = 15,687.62

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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.