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Finding the Fourth Proportional to 25,876.36, 38,820.06 and 14,788.36

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Solution

The fourth proportional to 25,876.36, 38,820.06 and 14,788.36 is: 22,185.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,876.36 : 38,820.06 = 14,788.36 : x
  2. Step 2: Convert to fraction form
    25,876.36/38,820.06 = 14,788.36/x
  3. Step 3: Cross multiply
    25,876.36x = 38,820.06 × 14,788.36
  4. Step 4: Simplify right side
    25,876.36x = 574,085,022.50
  5. Step 5: Solve for x
    x = 574,085,022.50/25,876.36
  6. Step 6: Final answer
    x = 22,185.69

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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.