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Finding the Fourth Proportional to 25,774, 35,568.20 and 15,025.26

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Solution

The fourth proportional to 25,774, 35,568.20 and 15,025.26 is: 20,734.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,774 : 35,568.20 = 15,025.26 : x
  2. Step 2: Convert to fraction form
    25,774/35,568.20 = 15,025.26/x
  3. Step 3: Cross multiply
    25,774x = 35,568.20 × 15,025.26
  4. Step 4: Simplify right side
    25,774x = 534,421,199.76
  5. Step 5: Solve for x
    x = 534,421,199.76/25,774
  6. Step 6: Final answer
    x = 20,734.90

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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.