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Finding the Fourth Proportional to 21,193.98, 31,789.56 and 8,710.77

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Solution

The fourth proportional to 21,193.98, 31,789.56 and 8,710.77 is: 13,065.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,193.98 : 31,789.56 = 8,710.77 : x
  2. Step 2: Convert to fraction form
    21,193.98/31,789.56 = 8,710.77/x
  3. Step 3: Cross multiply
    21,193.98x = 31,789.56 × 8,710.77
  4. Step 4: Simplify right side
    21,193.98x = 276,911,545.56
  5. Step 5: Solve for x
    x = 276,911,545.56/21,193.98
  6. Step 6: Final answer
    x = 13,065.58

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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.