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Finding the Fourth Proportional to 25,978.80, 38,975.40 and 17,230.80

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Solution

The fourth proportional to 25,978.80, 38,975.40 and 17,230.80 is: 25,850.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,978.80 : 38,975.40 = 17,230.80 : x
  2. Step 2: Convert to fraction form
    25,978.80/38,975.40 = 17,230.80/x
  3. Step 3: Cross multiply
    25,978.80x = 38,975.40 × 17,230.80
  4. Step 4: Simplify right side
    25,978.80x = 671,577,322.32
  5. Step 5: Solve for x
    x = 671,577,322.32/25,978.80
  6. Step 6: Final answer
    x = 25,850.98

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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.