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Finding the Fourth Proportional to 18,032.88, 24,893.28 and 10,866

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Solution

The fourth proportional to 18,032.88, 24,893.28 and 10,866 is: 14,999.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,032.88 : 24,893.28 = 10,866 : x
  2. Step 2: Convert to fraction form
    18,032.88/24,893.28 = 10,866/x
  3. Step 3: Cross multiply
    18,032.88x = 24,893.28 × 10,866
  4. Step 4: Simplify right side
    18,032.88x = 270,490,380.48
  5. Step 5: Solve for x
    x = 270,490,380.48/18,032.88
  6. Step 6: Final answer
    x = 14,999.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.