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Finding the Fourth Proportional to 14,536.50, 21,812.63 and 11,256

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Solution

The fourth proportional to 14,536.50, 21,812.63 and 11,256 is: 16,890.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,536.50 : 21,812.63 = 11,256 : x
  2. Step 2: Convert to fraction form
    14,536.50/21,812.63 = 11,256/x
  3. Step 3: Cross multiply
    14,536.50x = 21,812.63 × 11,256
  4. Step 4: Simplify right side
    14,536.50x = 245,522,907
  5. Step 5: Solve for x
    x = 245,522,907/14,536.50
  6. Step 6: Final answer
    x = 16,890.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.