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Finding the Fourth Proportional to 19,715.90, 29,578.10 and 5,675.83

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Solution

The fourth proportional to 19,715.90, 29,578.10 and 5,675.83 is: 8,514.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,715.90 : 29,578.10 = 5,675.83 : x
  2. Step 2: Convert to fraction form
    19,715.90/29,578.10 = 5,675.83/x
  3. Step 3: Cross multiply
    19,715.90x = 29,578.10 × 5,675.83
  4. Step 4: Simplify right side
    19,715.90x = 167,880,165.00
  5. Step 5: Solve for x
    x = 167,880,165.00/19,715.90
  6. Step 6: Final answer
    x = 8,514.97

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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.