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Finding the Fourth Proportional to 38,213.40, 57,309 and 16,026.16

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Solution

The fourth proportional to 38,213.40, 57,309 and 16,026.16 is: 24,034.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,213.40 : 57,309 = 16,026.16 : x
  2. Step 2: Convert to fraction form
    38,213.40/57,309 = 16,026.16/x
  3. Step 3: Cross multiply
    38,213.40x = 57,309 × 16,026.16
  4. Step 4: Simplify right side
    38,213.40x = 918,443,203.44
  5. Step 5: Solve for x
    x = 918,443,203.44/38,213.40
  6. Step 6: Final answer
    x = 24,034.58

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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.