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Finding the Fourth Proportional to 14,463.42, 21,697.85 and 6,566.49

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Solution

The fourth proportional to 14,463.42, 21,697.85 and 6,566.49 is: 9,850.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,463.42 : 21,697.85 = 6,566.49 : x
  2. Step 2: Convert to fraction form
    14,463.42/21,697.85 = 6,566.49/x
  3. Step 3: Cross multiply
    14,463.42x = 21,697.85 × 6,566.49
  4. Step 4: Simplify right side
    14,463.42x = 142,478,682.21
  5. Step 5: Solve for x
    x = 142,478,682.21/14,463.42
  6. Step 6: Final answer
    x = 9,850.97

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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.