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Finding the Fourth Proportional to 14,567, 21,850.56 and 5,333

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Solution

The fourth proportional to 14,567, 21,850.56 and 5,333 is: 7,999.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,567 : 21,850.56 = 5,333 : x
  2. Step 2: Convert to fraction form
    14,567/21,850.56 = 5,333/x
  3. Step 3: Cross multiply
    14,567x = 21,850.56 × 5,333
  4. Step 4: Simplify right side
    14,567x = 116,529,036.48
  5. Step 5: Solve for x
    x = 116,529,036.48/14,567
  6. Step 6: Final answer
    x = 7,999.52

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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.