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Finding the Fourth Proportional to 14,120.78, 19,485.92 and 7,832.75

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Solution

The fourth proportional to 14,120.78, 19,485.92 and 7,832.75 is: 10,808.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,120.78 : 19,485.92 = 7,832.75 : x
  2. Step 2: Convert to fraction form
    14,120.78/19,485.92 = 7,832.75/x
  3. Step 3: Cross multiply
    14,120.78x = 19,485.92 × 7,832.75
  4. Step 4: Simplify right side
    14,120.78x = 152,628,300.72
  5. Step 5: Solve for x
    x = 152,628,300.72/14,120.78
  6. Step 6: Final answer
    x = 10,808.77

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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.