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Finding the Fourth Proportional to 17,842.78, 26,763.16 and 5,362.55

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Solution

The fourth proportional to 17,842.78, 26,763.16 and 5,362.55 is: 8,043.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,842.78 : 26,763.16 = 5,362.55 : x
  2. Step 2: Convert to fraction form
    17,842.78/26,763.16 = 5,362.55/x
  3. Step 3: Cross multiply
    17,842.78x = 26,763.16 × 5,362.55
  4. Step 4: Simplify right side
    17,842.78x = 143,518,897.40
  5. Step 5: Solve for x
    x = 143,518,897.40/17,842.78
  6. Step 6: Final answer
    x = 8,043.53

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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.