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Finding the Fourth Proportional to 12,533.29, 17,295.42 and 7,494.54

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Solution

The fourth proportional to 12,533.29, 17,295.42 and 7,494.54 is: 10,342.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,533.29 : 17,295.42 = 7,494.54 : x
  2. Step 2: Convert to fraction form
    12,533.29/17,295.42 = 7,494.54/x
  3. Step 3: Cross multiply
    12,533.29x = 17,295.42 × 7,494.54
  4. Step 4: Simplify right side
    12,533.29x = 129,621,130.53
  5. Step 5: Solve for x
    x = 129,621,130.53/12,533.29
  6. Step 6: Final answer
    x = 10,342.15

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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.