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Finding the Fourth Proportional to 25,671.87, 38,507.77 and 9,664.39

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Solution

The fourth proportional to 25,671.87, 38,507.77 and 9,664.39 is: 14,496.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,671.87 : 38,507.77 = 9,664.39 : x
  2. Step 2: Convert to fraction form
    25,671.87/38,507.77 = 9,664.39/x
  3. Step 3: Cross multiply
    25,671.87x = 38,507.77 × 9,664.39
  4. Step 4: Simplify right side
    25,671.87x = 372,154,107.31
  5. Step 5: Solve for x
    x = 372,154,107.31/25,671.87
  6. Step 6: Final answer
    x = 14,496.57

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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.