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Finding the Fourth Proportional to 12,535.56, 17,298.63 and 7,230.60

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Solution

The fourth proportional to 12,535.56, 17,298.63 and 7,230.60 is: 9,977.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,535.56 : 17,298.63 = 7,230.60 : x
  2. Step 2: Convert to fraction form
    12,535.56/17,298.63 = 7,230.60/x
  3. Step 3: Cross multiply
    12,535.56x = 17,298.63 × 7,230.60
  4. Step 4: Simplify right side
    12,535.56x = 125,079,474.08
  5. Step 5: Solve for x
    x = 125,079,474.08/12,535.56
  6. Step 6: Final answer
    x = 9,977.97

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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.