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Finding the Fourth Proportional to 17,645, 26,467.50 and 5,333

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Solution

The fourth proportional to 17,645, 26,467.50 and 5,333 is: 7,999.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,645 : 26,467.50 = 5,333 : x
  2. Step 2: Convert to fraction form
    17,645/26,467.50 = 5,333/x
  3. Step 3: Cross multiply
    17,645x = 26,467.50 × 5,333
  4. Step 4: Simplify right side
    17,645x = 141,151,177.50
  5. Step 5: Solve for x
    x = 141,151,177.50/17,645
  6. Step 6: Final answer
    x = 7,999.50

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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.