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Finding the Fourth Proportional to 14,066.16, 19,410.84 and 7,777.68

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Solution

The fourth proportional to 14,066.16, 19,410.84 and 7,777.68 is: 10,732.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,066.16 : 19,410.84 = 7,777.68 : x
  2. Step 2: Convert to fraction form
    14,066.16/19,410.84 = 7,777.68/x
  3. Step 3: Cross multiply
    14,066.16x = 19,410.84 × 7,777.68
  4. Step 4: Simplify right side
    14,066.16x = 150,971,302.05
  5. Step 5: Solve for x
    x = 150,971,302.05/14,066.16
  6. Step 6: Final answer
    x = 10,732.94

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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.