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Finding the Fourth Proportional to 14,734.35, 22,093.65 and 7,697.34

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Solution

The fourth proportional to 14,734.35, 22,093.65 and 7,697.34 is: 11,541.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,734.35 : 22,093.65 = 7,697.34 : x
  2. Step 2: Convert to fraction form
    14,734.35/22,093.65 = 7,697.34/x
  3. Step 3: Cross multiply
    14,734.35x = 22,093.65 × 7,697.34
  4. Step 4: Simplify right side
    14,734.35x = 170,062,335.89
  5. Step 5: Solve for x
    x = 170,062,335.89/14,734.35
  6. Step 6: Final answer
    x = 11,541.90

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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.