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Finding the Fourth Proportional to 14,424.64, 21,593.12 and 9,234.16

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Solution

The fourth proportional to 14,424.64, 21,593.12 and 9,234.16 is: 13,823.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,424.64 : 21,593.12 = 9,234.16 : x
  2. Step 2: Convert to fraction form
    14,424.64/21,593.12 = 9,234.16/x
  3. Step 3: Cross multiply
    14,424.64x = 21,593.12 × 9,234.16
  4. Step 4: Simplify right side
    14,424.64x = 199,394,324.98
  5. Step 5: Solve for x
    x = 199,394,324.98/14,424.64
  6. Step 6: Final answer
    x = 13,823.18

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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.