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Finding the Fourth Proportional to 19,362.17, 29,027.62 and 7,509.82

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Solution

The fourth proportional to 19,362.17, 29,027.62 and 7,509.82 is: 11,258.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,362.17 : 29,027.62 = 7,509.82 : x
  2. Step 2: Convert to fraction form
    19,362.17/29,027.62 = 7,509.82/x
  3. Step 3: Cross multiply
    19,362.17x = 29,027.62 × 7,509.82
  4. Step 4: Simplify right side
    19,362.17x = 217,992,236.25
  5. Step 5: Solve for x
    x = 217,992,236.25/19,362.17
  6. Step 6: Final answer
    x = 11,258.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.