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Finding the Fourth Proportional to 12,533.08, 17,295.42 and 7,228.12

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Solution

The fourth proportional to 12,533.08, 17,295.42 and 7,228.12 is: 9,974.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,533.08 : 17,295.42 = 7,228.12 : x
  2. Step 2: Convert to fraction form
    12,533.08/17,295.42 = 7,228.12/x
  3. Step 3: Cross multiply
    12,533.08x = 17,295.42 × 7,228.12
  4. Step 4: Simplify right side
    12,533.08x = 125,013,371.21
  5. Step 5: Solve for x
    x = 125,013,371.21/12,533.08
  6. Step 6: Final answer
    x = 9,974.67

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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.