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Finding the Fourth Proportional to 14,722.83, 20,318.03 and 8,436.42

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Solution

The fourth proportional to 14,722.83, 20,318.03 and 8,436.42 is: 11,642.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,722.83 : 20,318.03 = 8,436.42 : x
  2. Step 2: Convert to fraction form
    14,722.83/20,318.03 = 8,436.42/x
  3. Step 3: Cross multiply
    14,722.83x = 20,318.03 × 8,436.42
  4. Step 4: Simplify right side
    14,722.83x = 171,411,434.65
  5. Step 5: Solve for x
    x = 171,411,434.65/14,722.83
  6. Step 6: Final answer
    x = 11,642.56

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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.