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Finding the Fourth Proportional to 14,632, 20,192.16 and 8,008

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Solution

The fourth proportional to 14,632, 20,192.16 and 8,008 is: 11,051.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,632 : 20,192.16 = 8,008 : x
  2. Step 2: Convert to fraction form
    14,632/20,192.16 = 8,008/x
  3. Step 3: Cross multiply
    14,632x = 20,192.16 × 8,008
  4. Step 4: Simplify right side
    14,632x = 161,698,817.28
  5. Step 5: Solve for x
    x = 161,698,817.28/14,632
  6. Step 6: Final answer
    x = 11,051.04

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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.