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Finding the Fourth Proportional to 19,309.36, 28,965.12 and 5,458

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Solution

The fourth proportional to 19,309.36, 28,965.12 and 5,458 is: 8,187.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,309.36 : 28,965.12 = 5,458 : x
  2. Step 2: Convert to fraction form
    19,309.36/28,965.12 = 5,458/x
  3. Step 3: Cross multiply
    19,309.36x = 28,965.12 × 5,458
  4. Step 4: Simplify right side
    19,309.36x = 158,091,624.96
  5. Step 5: Solve for x
    x = 158,091,624.96/19,309.36
  6. Step 6: Final answer
    x = 8,187.31

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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.