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Finding the Fourth Proportional to 25,205.86, 37,797.86 and 7,671.64

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Solution

The fourth proportional to 25,205.86, 37,797.86 and 7,671.64 is: 11,504.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,205.86 : 37,797.86 = 7,671.64 : x
  2. Step 2: Convert to fraction form
    25,205.86/37,797.86 = 7,671.64/x
  3. Step 3: Cross multiply
    25,205.86x = 37,797.86 × 7,671.64
  4. Step 4: Simplify right side
    25,205.86x = 289,971,574.69
  5. Step 5: Solve for x
    x = 289,971,574.69/25,205.86
  6. Step 6: Final answer
    x = 11,504.13

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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.