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Finding the Fourth Proportional to 14,405.29, 19,879.31 and 8,032.46

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Solution

The fourth proportional to 14,405.29, 19,879.31 and 8,032.46 is: 11,084.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,405.29 : 19,879.31 = 8,032.46 : x
  2. Step 2: Convert to fraction form
    14,405.29/19,879.31 = 8,032.46/x
  3. Step 3: Cross multiply
    14,405.29x = 19,879.31 × 8,032.46
  4. Step 4: Simplify right side
    14,405.29x = 159,679,722.24
  5. Step 5: Solve for x
    x = 159,679,722.24/14,405.29
  6. Step 6: Final answer
    x = 11,084.80

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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.