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Finding the Fourth Proportional to 15,415.31, 23,122.01 and 9,493.32

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Solution

The fourth proportional to 15,415.31, 23,122.01 and 9,493.32 is: 14,239.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,415.31 : 23,122.01 = 9,493.32 : x
  2. Step 2: Convert to fraction form
    15,415.31/23,122.01 = 9,493.32/x
  3. Step 3: Cross multiply
    15,415.31x = 23,122.01 × 9,493.32
  4. Step 4: Simplify right side
    15,415.31x = 219,504,592.51
  5. Step 5: Solve for x
    x = 219,504,592.51/15,415.31
  6. Step 6: Final answer
    x = 14,239.39

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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.