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Finding the Fourth Proportional to 14,226.22, 19,634.16 and 7,939

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Solution

The fourth proportional to 14,226.22, 19,634.16 and 7,939 is: 10,956.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,226.22 : 19,634.16 = 7,939 : x
  2. Step 2: Convert to fraction form
    14,226.22/19,634.16 = 7,939/x
  3. Step 3: Cross multiply
    14,226.22x = 19,634.16 × 7,939
  4. Step 4: Simplify right side
    14,226.22x = 155,875,596.24
  5. Step 5: Solve for x
    x = 155,875,596.24/14,226.22
  6. Step 6: Final answer
    x = 10,956.92

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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.