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Finding the Fourth Proportional to 16,814.59, 23,203.25 and 9,644.14

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Solution

The fourth proportional to 16,814.59, 23,203.25 and 9,644.14 is: 13,308.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,814.59 : 23,203.25 = 9,644.14 : x
  2. Step 2: Convert to fraction form
    16,814.59/23,203.25 = 9,644.14/x
  3. Step 3: Cross multiply
    16,814.59x = 23,203.25 × 9,644.14
  4. Step 4: Simplify right side
    16,814.59x = 223,775,227.22
  5. Step 5: Solve for x
    x = 223,775,227.22/16,814.59
  6. Step 6: Final answer
    x = 13,308.40

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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.