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Finding the Fourth Proportional to 14,405.52, 19,879.48 and 8,032.02

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Solution

The fourth proportional to 14,405.52, 19,879.48 and 8,032.02 is: 11,084.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,405.52 : 19,879.48 = 8,032.02 : x
  2. Step 2: Convert to fraction form
    14,405.52/19,879.48 = 8,032.02/x
  3. Step 3: Cross multiply
    14,405.52x = 19,879.48 × 8,032.02
  4. Step 4: Simplify right side
    14,405.52x = 159,672,380.95
  5. Step 5: Solve for x
    x = 159,672,380.95/14,405.52
  6. Step 6: Final answer
    x = 11,084.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.