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Finding the Fourth Proportional to 12,357.24, 18,535.72 and 4,961.57

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Solution

The fourth proportional to 12,357.24, 18,535.72 and 4,961.57 is: 7,442.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,357.24 : 18,535.72 = 4,961.57 : x
  2. Step 2: Convert to fraction form
    12,357.24/18,535.72 = 4,961.57/x
  3. Step 3: Cross multiply
    12,357.24x = 18,535.72 × 4,961.57
  4. Step 4: Simplify right side
    12,357.24x = 91,966,215.82
  5. Step 5: Solve for x
    x = 91,966,215.82/12,357.24
  6. Step 6: Final answer
    x = 7,442.29

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