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Finding the Fourth Proportional to 14,400.96, 21,564.06 and 12,334.24

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Solution

The fourth proportional to 14,400.96, 21,564.06 and 12,334.24 is: 18,469.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,400.96 : 21,564.06 = 12,334.24 : x
  2. Step 2: Convert to fraction form
    14,400.96/21,564.06 = 12,334.24/x
  3. Step 3: Cross multiply
    14,400.96x = 21,564.06 × 12,334.24
  4. Step 4: Simplify right side
    14,400.96x = 265,976,291.41
  5. Step 5: Solve for x
    x = 265,976,291.41/14,400.96
  6. Step 6: Final answer
    x = 18,469.34

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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.