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Finding the Fourth Proportional to 14,744.00, 22,064.04 and 9,199.96

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Solution

The fourth proportional to 14,744.00, 22,064.04 and 9,199.96 is: 13,767.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,744.00 : 22,064.04 = 9,199.96 : x
  2. Step 2: Convert to fraction form
    14,744.00/22,064.04 = 9,199.96/x
  3. Step 3: Cross multiply
    14,744.00x = 22,064.04 × 9,199.96
  4. Step 4: Simplify right side
    14,744.00x = 202,988,230.28
  5. Step 5: Solve for x
    x = 202,988,230.28/14,744.00
  6. Step 6: Final answer
    x = 13,767.51

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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.