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Finding the Fourth Proportional to 19,854.75, 29,782.85 and 6,003.75

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Solution

The fourth proportional to 19,854.75, 29,782.85 and 6,003.75 is: 9,005.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,854.75 : 29,782.85 = 6,003.75 : x
  2. Step 2: Convert to fraction form
    19,854.75/29,782.85 = 6,003.75/x
  3. Step 3: Cross multiply
    19,854.75x = 29,782.85 × 6,003.75
  4. Step 4: Simplify right side
    19,854.75x = 178,808,755.67
  5. Step 5: Solve for x
    x = 178,808,755.67/19,854.75
  6. Step 6: Final answer
    x = 9,005.84

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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.