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Finding the Fourth Proportional to 16,887.34, 23,308.28 and 9,817.84

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Solution

The fourth proportional to 16,887.34, 23,308.28 and 9,817.84 is: 13,550.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,887.34 : 23,308.28 = 9,817.84 : x
  2. Step 2: Convert to fraction form
    16,887.34/23,308.28 = 9,817.84/x
  3. Step 3: Cross multiply
    16,887.34x = 23,308.28 × 9,817.84
  4. Step 4: Simplify right side
    16,887.34x = 228,836,963.72
  5. Step 5: Solve for x
    x = 228,836,963.72/16,887.34
  6. Step 6: Final answer
    x = 13,550.80

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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.