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Finding the Fourth Proportional to 19,783.58, 29,649.98 and 8,082.86

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Solution

The fourth proportional to 19,783.58, 29,649.98 and 8,082.86 is: 12,113.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,783.58 : 29,649.98 = 8,082.86 : x
  2. Step 2: Convert to fraction form
    19,783.58/29,649.98 = 8,082.86/x
  3. Step 3: Cross multiply
    19,783.58x = 29,649.98 × 8,082.86
  4. Step 4: Simplify right side
    19,783.58x = 239,656,509.30
  5. Step 5: Solve for x
    x = 239,656,509.30/19,783.58
  6. Step 6: Final answer
    x = 12,113.91

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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.