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Finding the Fourth Proportional to 14,121.54, 19,485.36 and 7,833.78

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Solution

The fourth proportional to 14,121.54, 19,485.36 and 7,833.78 is: 10,809.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,121.54 : 19,485.36 = 7,833.78 : x
  2. Step 2: Convert to fraction form
    14,121.54/19,485.36 = 7,833.78/x
  3. Step 3: Cross multiply
    14,121.54x = 19,485.36 × 7,833.78
  4. Step 4: Simplify right side
    14,121.54x = 152,644,023.46
  5. Step 5: Solve for x
    x = 152,644,023.46/14,121.54
  6. Step 6: Final answer
    x = 10,809.30

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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.