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Finding the Fourth Proportional to 17,978.07, 26,967.08 and 4,830.44

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Solution

The fourth proportional to 17,978.07, 26,967.08 and 4,830.44 is: 7,245.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,978.07 : 26,967.08 = 4,830.44 : x
  2. Step 2: Convert to fraction form
    17,978.07/26,967.08 = 4,830.44/x
  3. Step 3: Cross multiply
    17,978.07x = 26,967.08 × 4,830.44
  4. Step 4: Simplify right side
    17,978.07x = 130,262,702.93
  5. Step 5: Solve for x
    x = 130,262,702.93/17,978.07
  6. Step 6: Final answer
    x = 7,245.65

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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.