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Finding the Fourth Proportional to 14,470.36, 19,968.51 and 8,182.84

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Solution

The fourth proportional to 14,470.36, 19,968.51 and 8,182.84 is: 11,291.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,470.36 : 19,968.51 = 8,182.84 : x
  2. Step 2: Convert to fraction form
    14,470.36/19,968.51 = 8,182.84/x
  3. Step 3: Cross multiply
    14,470.36x = 19,968.51 × 8,182.84
  4. Step 4: Simplify right side
    14,470.36x = 163,399,122.37
  5. Step 5: Solve for x
    x = 163,399,122.37/14,470.36
  6. Step 6: Final answer
    x = 11,291.99

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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.