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Finding the Fourth Proportional to 25,999.84, 39,003 and 8,464.96

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Solution

The fourth proportional to 25,999.84, 39,003 and 8,464.96 is: 12,698.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,999.84 : 39,003 = 8,464.96 : x
  2. Step 2: Convert to fraction form
    25,999.84/39,003 = 8,464.96/x
  3. Step 3: Cross multiply
    25,999.84x = 39,003 × 8,464.96
  4. Step 4: Simplify right side
    25,999.84x = 330,158,834.88
  5. Step 5: Solve for x
    x = 330,158,834.88/25,999.84
  6. Step 6: Final answer
    x = 12,698.49

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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.