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Finding the Fourth Proportional to 12,341.44, 18,522.51 and 6,421.96

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Solution

The fourth proportional to 12,341.44, 18,522.51 and 6,421.96 is: 9,638.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,341.44 : 18,522.51 = 6,421.96 : x
  2. Step 2: Convert to fraction form
    12,341.44/18,522.51 = 6,421.96/x
  3. Step 3: Cross multiply
    12,341.44x = 18,522.51 × 6,421.96
  4. Step 4: Simplify right side
    12,341.44x = 118,950,818.32
  5. Step 5: Solve for x
    x = 118,950,818.32/12,341.44
  6. Step 6: Final answer
    x = 9,638.33

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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.