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Finding the Fourth Proportional to 16,508.50, 22,782.94 and 9,434.76

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Solution

The fourth proportional to 16,508.50, 22,782.94 and 9,434.76 is: 13,020.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,508.50 : 22,782.94 = 9,434.76 : x
  2. Step 2: Convert to fraction form
    16,508.50/22,782.94 = 9,434.76/x
  3. Step 3: Cross multiply
    16,508.50x = 22,782.94 × 9,434.76
  4. Step 4: Simplify right side
    16,508.50x = 214,951,570.99
  5. Step 5: Solve for x
    x = 214,951,570.99/16,508.50
  6. Step 6: Final answer
    x = 13,020.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.