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Finding the Fourth Proportional to 14,396.42, 21,580.02 and 6,994.64

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Solution

The fourth proportional to 14,396.42, 21,580.02 and 6,994.64 is: 10,484.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,396.42 : 21,580.02 = 6,994.64 : x
  2. Step 2: Convert to fraction form
    14,396.42/21,580.02 = 6,994.64/x
  3. Step 3: Cross multiply
    14,396.42x = 21,580.02 × 6,994.64
  4. Step 4: Simplify right side
    14,396.42x = 150,944,471.09
  5. Step 5: Solve for x
    x = 150,944,471.09/14,396.42
  6. Step 6: Final answer
    x = 10,484.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.