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Finding the Fourth Proportional to 30,785.99, 42,484.67 and 16,638.83

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Solution

The fourth proportional to 30,785.99, 42,484.67 and 16,638.83 is: 22,961.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,785.99 : 42,484.67 = 16,638.83 : x
  2. Step 2: Convert to fraction form
    30,785.99/42,484.67 = 16,638.83/x
  3. Step 3: Cross multiply
    30,785.99x = 42,484.67 × 16,638.83
  4. Step 4: Simplify right side
    30,785.99x = 706,895,118.54
  5. Step 5: Solve for x
    x = 706,895,118.54/30,785.99
  6. Step 6: Final answer
    x = 22,961.59

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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.