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Finding the Fourth Proportional to 14,028.64, 19,358.94 and 7,740.88

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Solution

The fourth proportional to 14,028.64, 19,358.94 and 7,740.88 is: 10,682.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,028.64 : 19,358.94 = 7,740.88 : x
  2. Step 2: Convert to fraction form
    14,028.64/19,358.94 = 7,740.88/x
  3. Step 3: Cross multiply
    14,028.64x = 19,358.94 × 7,740.88
  4. Step 4: Simplify right side
    14,028.64x = 149,855,231.47
  5. Step 5: Solve for x
    x = 149,855,231.47/14,028.64
  6. Step 6: Final answer
    x = 10,682.09

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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.