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Finding the Fourth Proportional to 14,107.69, 19,470.63 and 8,141.41

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Solution

The fourth proportional to 14,107.69, 19,470.63 and 8,141.41 is: 11,236.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,107.69 : 19,470.63 = 8,141.41 : x
  2. Step 2: Convert to fraction form
    14,107.69/19,470.63 = 8,141.41/x
  3. Step 3: Cross multiply
    14,107.69x = 19,470.63 × 8,141.41
  4. Step 4: Simplify right side
    14,107.69x = 158,518,381.79
  5. Step 5: Solve for x
    x = 158,518,381.79/14,107.69
  6. Step 6: Final answer
    x = 11,236.31

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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.