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Finding the Fourth Proportional to 16,270.31, 24,402.63 and 6,412.34

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Solution

The fourth proportional to 16,270.31, 24,402.63 and 6,412.34 is: 9,617.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,270.31 : 24,402.63 = 6,412.34 : x
  2. Step 2: Convert to fraction form
    16,270.31/24,402.63 = 6,412.34/x
  3. Step 3: Cross multiply
    16,270.31x = 24,402.63 × 6,412.34
  4. Step 4: Simplify right side
    16,270.31x = 156,477,960.45
  5. Step 5: Solve for x
    x = 156,477,960.45/16,270.31
  6. Step 6: Final answer
    x = 9,617.39

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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.