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Finding the Fourth Proportional to 14,389.64, 19,859.22 and 8,423.24

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Solution

The fourth proportional to 14,389.64, 19,859.22 and 8,423.24 is: 11,624.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,389.64 : 19,859.22 = 8,423.24 : x
  2. Step 2: Convert to fraction form
    14,389.64/19,859.22 = 8,423.24/x
  3. Step 3: Cross multiply
    14,389.64x = 19,859.22 × 8,423.24
  4. Step 4: Simplify right side
    14,389.64x = 167,278,976.27
  5. Step 5: Solve for x
    x = 167,278,976.27/14,389.64
  6. Step 6: Final answer
    x = 11,624.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.