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Finding the Fourth Proportional to 15,172.86, 20,936 and 8,457

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Solution

The fourth proportional to 15,172.86, 20,936 and 8,457 is: 11,669.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,172.86 : 20,936 = 8,457 : x
  2. Step 2: Convert to fraction form
    15,172.86/20,936 = 8,457/x
  3. Step 3: Cross multiply
    15,172.86x = 20,936 × 8,457
  4. Step 4: Simplify right side
    15,172.86x = 177,055,752
  5. Step 5: Solve for x
    x = 177,055,752/15,172.86
  6. Step 6: Final answer
    x = 11,669.24

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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.