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Finding the Fourth Proportional to 25,978.73, 35,827.11 and 17,022.98

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Solution

The fourth proportional to 25,978.73, 35,827.11 and 17,022.98 is: 23,476.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,978.73 : 35,827.11 = 17,022.98 : x
  2. Step 2: Convert to fraction form
    25,978.73/35,827.11 = 17,022.98/x
  3. Step 3: Cross multiply
    25,978.73x = 35,827.11 × 17,022.98
  4. Step 4: Simplify right side
    25,978.73x = 609,884,176.99
  5. Step 5: Solve for x
    x = 609,884,176.99/25,978.73
  6. Step 6: Final answer
    x = 23,476.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.