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Finding the Fourth Proportional to 12,533.46, 17,284.24 and 7,496.86

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Solution

The fourth proportional to 12,533.46, 17,284.24 and 7,496.86 is: 10,338.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,533.46 : 17,284.24 = 7,496.86 : x
  2. Step 2: Convert to fraction form
    12,533.46/17,284.24 = 7,496.86/x
  3. Step 3: Cross multiply
    12,533.46x = 17,284.24 × 7,496.86
  4. Step 4: Simplify right side
    12,533.46x = 129,577,527.49
  5. Step 5: Solve for x
    x = 129,577,527.49/12,533.46
  6. Step 6: Final answer
    x = 10,338.53

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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.