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Finding the Fourth Proportional to 20,901.96, 31,345.05 and 8,417.73

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Solution

The fourth proportional to 20,901.96, 31,345.05 and 8,417.73 is: 12,623.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,901.96 : 31,345.05 = 8,417.73 : x
  2. Step 2: Convert to fraction form
    20,901.96/31,345.05 = 8,417.73/x
  3. Step 3: Cross multiply
    20,901.96x = 31,345.05 × 8,417.73
  4. Step 4: Simplify right side
    20,901.96x = 263,854,167.74
  5. Step 5: Solve for x
    x = 263,854,167.74/20,901.96
  6. Step 6: Final answer
    x = 12,623.42

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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.