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Finding the Fourth Proportional to 19,828.85, 29,748.16 and 5,789.02

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Solution

The fourth proportional to 19,828.85, 29,748.16 and 5,789.02 is: 8,684.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,828.85 : 29,748.16 = 5,789.02 : x
  2. Step 2: Convert to fraction form
    19,828.85/29,748.16 = 5,789.02/x
  3. Step 3: Cross multiply
    19,828.85x = 29,748.16 × 5,789.02
  4. Step 4: Simplify right side
    19,828.85x = 172,212,681.85
  5. Step 5: Solve for x
    x = 172,212,681.85/19,828.85
  6. Step 6: Final answer
    x = 8,684.96

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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.