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Finding the Fourth Proportional to 21,494.37, 32,254.08 and 9,013.44

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Solution

The fourth proportional to 21,494.37, 32,254.08 and 9,013.44 is: 13,525.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,494.37 : 32,254.08 = 9,013.44 : x
  2. Step 2: Convert to fraction form
    21,494.37/32,254.08 = 9,013.44/x
  3. Step 3: Cross multiply
    21,494.37x = 32,254.08 × 9,013.44
  4. Step 4: Simplify right side
    21,494.37x = 290,720,214.84
  5. Step 5: Solve for x
    x = 290,720,214.84/21,494.37
  6. Step 6: Final answer
    x = 13,525.41

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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.