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Finding the Fourth Proportional to 20,999.94, 31,490.33 and 9,153.23

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Solution

The fourth proportional to 20,999.94, 31,490.33 and 9,153.23 is: 13,725.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,999.94 : 31,490.33 = 9,153.23 : x
  2. Step 2: Convert to fraction form
    20,999.94/31,490.33 = 9,153.23/x
  3. Step 3: Cross multiply
    20,999.94x = 31,490.33 × 9,153.23
  4. Step 4: Simplify right side
    20,999.94x = 288,238,030.05
  5. Step 5: Solve for x
    x = 288,238,030.05/20,999.94
  6. Step 6: Final answer
    x = 13,725.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.