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Finding the Fourth Proportional to 21,894.50, 30,214.53 and 11,958.50

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Solution

The fourth proportional to 21,894.50, 30,214.53 and 11,958.50 is: 16,502.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,894.50 : 30,214.53 = 11,958.50 : x
  2. Step 2: Convert to fraction form
    21,894.50/30,214.53 = 11,958.50/x
  3. Step 3: Cross multiply
    21,894.50x = 30,214.53 × 11,958.50
  4. Step 4: Simplify right side
    21,894.50x = 361,320,457.01
  5. Step 5: Solve for x
    x = 361,320,457.01/21,894.50
  6. Step 6: Final answer
    x = 16,502.80

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Why These Related Problems?

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