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Finding the Fourth Proportional to 25,777.38, 35,572.77 and 14,599.38

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Solution

The fourth proportional to 25,777.38, 35,572.77 and 14,599.38 is: 20,147.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,777.38 : 35,572.77 = 14,599.38 : x
  2. Step 2: Convert to fraction form
    25,777.38/35,572.77 = 14,599.38/x
  3. Step 3: Cross multiply
    25,777.38x = 35,572.77 × 14,599.38
  4. Step 4: Simplify right side
    25,777.38x = 519,340,386.88
  5. Step 5: Solve for x
    x = 519,340,386.88/25,777.38
  6. Step 6: Final answer
    x = 20,147.14

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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.