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Finding the Fourth Proportional to 21,835.14, 32,725.31 and 9,340.48

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Solution

The fourth proportional to 21,835.14, 32,725.31 and 9,340.48 is: 13,999.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,835.14 : 32,725.31 = 9,340.48 : x
  2. Step 2: Convert to fraction form
    21,835.14/32,725.31 = 9,340.48/x
  3. Step 3: Cross multiply
    21,835.14x = 32,725.31 × 9,340.48
  4. Step 4: Simplify right side
    21,835.14x = 305,670,056.85
  5. Step 5: Solve for x
    x = 305,670,056.85/21,835.14
  6. Step 6: Final answer
    x = 13,999.00

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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.