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Finding the Fourth Proportional to 13,950.92, 19,247.52 and 7,978.32

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Solution

The fourth proportional to 13,950.92, 19,247.52 and 7,978.32 is: 11,007.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,950.92 : 19,247.52 = 7,978.32 : x
  2. Step 2: Convert to fraction form
    13,950.92/19,247.52 = 7,978.32/x
  3. Step 3: Cross multiply
    13,950.92x = 19,247.52 × 7,978.32
  4. Step 4: Simplify right side
    13,950.92x = 153,562,873.77
  5. Step 5: Solve for x
    x = 153,562,873.77/13,950.92
  6. Step 6: Final answer
    x = 11,007.37

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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.