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Finding the Fourth Proportional to 12,574.44, 17,352.23 and 7,535.84

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Solution

The fourth proportional to 12,574.44, 17,352.23 and 7,535.84 is: 10,399.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,574.44 : 17,352.23 = 7,535.84 : x
  2. Step 2: Convert to fraction form
    12,574.44/17,352.23 = 7,535.84/x
  3. Step 3: Cross multiply
    12,574.44x = 17,352.23 × 7,535.84
  4. Step 4: Simplify right side
    12,574.44x = 130,763,504.48
  5. Step 5: Solve for x
    x = 130,763,504.48/12,574.44
  6. Step 6: Final answer
    x = 10,399.15

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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.