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Finding the Fourth Proportional to 14,470.74, 19,963.73 and 9,433.19

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Solution

The fourth proportional to 14,470.74, 19,963.73 and 9,433.19 is: 13,013.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,470.74 : 19,963.73 = 9,433.19 : x
  2. Step 2: Convert to fraction form
    14,470.74/19,963.73 = 9,433.19/x
  3. Step 3: Cross multiply
    14,470.74x = 19,963.73 × 9,433.19
  4. Step 4: Simplify right side
    14,470.74x = 188,321,511.21
  5. Step 5: Solve for x
    x = 188,321,511.21/14,470.74
  6. Step 6: Final answer
    x = 13,013.95

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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.