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Finding the Fourth Proportional to 25,777.40, 35,589.95 and 19,798.38

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Solution

The fourth proportional to 25,777.40, 35,589.95 and 19,798.38 is: 27,334.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,777.40 : 35,589.95 = 19,798.38 : x
  2. Step 2: Convert to fraction form
    25,777.40/35,589.95 = 19,798.38/x
  3. Step 3: Cross multiply
    25,777.40x = 35,589.95 × 19,798.38
  4. Step 4: Simplify right side
    25,777.40x = 704,623,354.28
  5. Step 5: Solve for x
    x = 704,623,354.28/25,777.40
  6. Step 6: Final answer
    x = 27,334.93

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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.