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Finding the Fourth Proportional to 14,102.64, 21,145.05 and 7,074.27

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Solution

The fourth proportional to 14,102.64, 21,145.05 and 7,074.27 is: 10,606.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,102.64 : 21,145.05 = 7,074.27 : x
  2. Step 2: Convert to fraction form
    14,102.64/21,145.05 = 7,074.27/x
  3. Step 3: Cross multiply
    14,102.64x = 21,145.05 × 7,074.27
  4. Step 4: Simplify right side
    14,102.64x = 149,585,792.86
  5. Step 5: Solve for x
    x = 149,585,792.86/14,102.64
  6. Step 6: Final answer
    x = 10,606.94

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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.