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Finding the Fourth Proportional to 26,153, 36,096 and 14,975

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Solution

The fourth proportional to 26,153, 36,096 and 14,975 is: 20,668.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,153 : 36,096 = 14,975 : x
  2. Step 2: Convert to fraction form
    26,153/36,096 = 14,975/x
  3. Step 3: Cross multiply
    26,153x = 36,096 × 14,975
  4. Step 4: Simplify right side
    26,153x = 540,537,600
  5. Step 5: Solve for x
    x = 540,537,600/26,153
  6. Step 6: Final answer
    x = 20,668.28

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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.