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Finding the Fourth Proportional to 29,784.90, 44,604.45 and 14,184.30

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Solution

The fourth proportional to 29,784.90, 44,604.45 and 14,184.30 is: 21,241.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,784.90 : 44,604.45 = 14,184.30 : x
  2. Step 2: Convert to fraction form
    29,784.90/44,604.45 = 14,184.30/x
  3. Step 3: Cross multiply
    29,784.90x = 44,604.45 × 14,184.30
  4. Step 4: Simplify right side
    29,784.90x = 632,682,900.14
  5. Step 5: Solve for x
    x = 632,682,900.14/29,784.90
  6. Step 6: Final answer
    x = 21,241.73

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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.