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Finding the Fourth Proportional to 19,856.99, 29,788.82 and 6,526.42

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Solution

The fourth proportional to 19,856.99, 29,788.82 and 6,526.42 is: 9,790.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,856.99 : 29,788.82 = 6,526.42 : x
  2. Step 2: Convert to fraction form
    19,856.99/29,788.82 = 6,526.42/x
  3. Step 3: Cross multiply
    19,856.99x = 29,788.82 × 6,526.42
  4. Step 4: Simplify right side
    19,856.99x = 194,414,350.62
  5. Step 5: Solve for x
    x = 194,414,350.62/19,856.99
  6. Step 6: Final answer
    x = 9,790.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.