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Finding the Fourth Proportional to 13,642.83, 20,470.62 and 7,065.43

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Solution

The fourth proportional to 13,642.83, 20,470.62 and 7,065.43 is: 10,601.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,642.83 : 20,470.62 = 7,065.43 : x
  2. Step 2: Convert to fraction form
    13,642.83/20,470.62 = 7,065.43/x
  3. Step 3: Cross multiply
    13,642.83x = 20,470.62 × 7,065.43
  4. Step 4: Simplify right side
    13,642.83x = 144,633,707.99
  5. Step 5: Solve for x
    x = 144,633,707.99/13,642.83
  6. Step 6: Final answer
    x = 10,601.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.