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Finding the Fourth Proportional to 16,877.70, 23,282.64 and 11,577.60

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Solution

The fourth proportional to 16,877.70, 23,282.64 and 11,577.60 is: 15,971.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,877.70 : 23,282.64 = 11,577.60 : x
  2. Step 2: Convert to fraction form
    16,877.70/23,282.64 = 11,577.60/x
  3. Step 3: Cross multiply
    16,877.70x = 23,282.64 × 11,577.60
  4. Step 4: Simplify right side
    16,877.70x = 269,557,092.86
  5. Step 5: Solve for x
    x = 269,557,092.86/16,877.70
  6. Step 6: Final answer
    x = 15,971.20

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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.