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Finding the Fourth Proportional to 14,256, 21,392.91 and 6,861.24

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Solution

The fourth proportional to 14,256, 21,392.91 and 6,861.24 is: 10,296.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,256 : 21,392.91 = 6,861.24 : x
  2. Step 2: Convert to fraction form
    14,256/21,392.91 = 6,861.24/x
  3. Step 3: Cross multiply
    14,256x = 21,392.91 × 6,861.24
  4. Step 4: Simplify right side
    14,256x = 146,781,889.81
  5. Step 5: Solve for x
    x = 146,781,889.81/14,256
  6. Step 6: Final answer
    x = 10,296.15

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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.