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Finding the Fourth Proportional to 14,541, 21,814.74 and 5,307

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Solution

The fourth proportional to 14,541, 21,814.74 and 5,307 is: 7,961.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,541 : 21,814.74 = 5,307 : x
  2. Step 2: Convert to fraction form
    14,541/21,814.74 = 5,307/x
  3. Step 3: Cross multiply
    14,541x = 21,814.74 × 5,307
  4. Step 4: Simplify right side
    14,541x = 115,770,825.18
  5. Step 5: Solve for x
    x = 115,770,825.18/14,541
  6. Step 6: Final answer
    x = 7,961.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.