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Finding the Fourth Proportional to 14,722.65, 20,317.79 and 8,436.24

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Solution

The fourth proportional to 14,722.65, 20,317.79 and 8,436.24 is: 11,642.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,722.65 : 20,317.79 = 8,436.24 : x
  2. Step 2: Convert to fraction form
    14,722.65/20,317.79 = 8,436.24/x
  3. Step 3: Cross multiply
    14,722.65x = 20,317.79 × 8,436.24
  4. Step 4: Simplify right side
    14,722.65x = 171,405,710.53
  5. Step 5: Solve for x
    x = 171,405,710.53/14,722.65
  6. Step 6: Final answer
    x = 11,642.31

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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.