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Finding the Fourth Proportional to 26,464.26, 39,671.12 and 9,819.84

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Solution

The fourth proportional to 26,464.26, 39,671.12 and 9,819.84 is: 14,720.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,464.26 : 39,671.12 = 9,819.84 : x
  2. Step 2: Convert to fraction form
    26,464.26/39,671.12 = 9,819.84/x
  3. Step 3: Cross multiply
    26,464.26x = 39,671.12 × 9,819.84
  4. Step 4: Simplify right side
    26,464.26x = 389,564,051.02
  5. Step 5: Solve for x
    x = 389,564,051.02/26,464.26
  6. Step 6: Final answer
    x = 14,720.38

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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.