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Finding the Fourth Proportional to 14,028.52, 19,358.40 and 7,741

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Solution

The fourth proportional to 14,028.52, 19,358.40 and 7,741 is: 10,682.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,028.52 : 19,358.40 = 7,741 : x
  2. Step 2: Convert to fraction form
    14,028.52/19,358.40 = 7,741/x
  3. Step 3: Cross multiply
    14,028.52x = 19,358.40 × 7,741
  4. Step 4: Simplify right side
    14,028.52x = 149,853,374.40
  5. Step 5: Solve for x
    x = 149,853,374.40/14,028.52
  6. Step 6: Final answer
    x = 10,682.05

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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.