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Finding the Fourth Proportional to 14,697.64, 20,267.58 and 10,226.44

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Solution

The fourth proportional to 14,697.64, 20,267.58 and 10,226.44 is: 14,101.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,697.64 : 20,267.58 = 10,226.44 : x
  2. Step 2: Convert to fraction form
    14,697.64/20,267.58 = 10,226.44/x
  3. Step 3: Cross multiply
    14,697.64x = 20,267.58 × 10,226.44
  4. Step 4: Simplify right side
    14,697.64x = 207,265,190.82
  5. Step 5: Solve for x
    x = 207,265,190.82/14,697.64
  6. Step 6: Final answer
    x = 14,101.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.