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Finding the Fourth Proportional to 16,814.71, 23,202.27 and 9,644.26

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Solution

The fourth proportional to 16,814.71, 23,202.27 and 9,644.26 is: 13,307.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,814.71 : 23,202.27 = 9,644.26 : x
  2. Step 2: Convert to fraction form
    16,814.71/23,202.27 = 9,644.26/x
  3. Step 3: Cross multiply
    16,814.71x = 23,202.27 × 9,644.26
  4. Step 4: Simplify right side
    16,814.71x = 223,768,608.46
  5. Step 5: Solve for x
    x = 223,768,608.46/16,814.71
  6. Step 6: Final answer
    x = 13,307.91

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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.