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Finding the Fourth Proportional to 25,558.74, 38,339.73 and 8,029.26

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Solution

The fourth proportional to 25,558.74, 38,339.73 and 8,029.26 is: 12,044.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,558.74 : 38,339.73 = 8,029.26 : x
  2. Step 2: Convert to fraction form
    25,558.74/38,339.73 = 8,029.26/x
  3. Step 3: Cross multiply
    25,558.74x = 38,339.73 × 8,029.26
  4. Step 4: Simplify right side
    25,558.74x = 307,839,660.50
  5. Step 5: Solve for x
    x = 307,839,660.50/25,558.74
  6. Step 6: Final answer
    x = 12,044.40

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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.