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Finding the Fourth Proportional to 14,824, 20,457.76 and 8,200

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Solution

The fourth proportional to 14,824, 20,457.76 and 8,200 is: 11,316.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,824 : 20,457.76 = 8,200 : x
  2. Step 2: Convert to fraction form
    14,824/20,457.76 = 8,200/x
  3. Step 3: Cross multiply
    14,824x = 20,457.76 × 8,200
  4. Step 4: Simplify right side
    14,824x = 167,753,632
  5. Step 5: Solve for x
    x = 167,753,632/14,824
  6. Step 6: Final answer
    x = 11,316.35

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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.