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Finding the Fourth Proportional to 23,408.90, 35,106.05 and 7,822.88

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Solution

The fourth proportional to 23,408.90, 35,106.05 and 7,822.88 is: 11,731.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,408.90 : 35,106.05 = 7,822.88 : x
  2. Step 2: Convert to fraction form
    23,408.90/35,106.05 = 7,822.88/x
  3. Step 3: Cross multiply
    23,408.90x = 35,106.05 × 7,822.88
  4. Step 4: Simplify right side
    23,408.90x = 274,630,260.45
  5. Step 5: Solve for x
    x = 274,630,260.45/23,408.90
  6. Step 6: Final answer
    x = 11,731.88

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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.