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Finding the Fourth Proportional to 25,820.76, 38,726.48 and 6,845.52

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Solution

The fourth proportional to 25,820.76, 38,726.48 and 6,845.52 is: 10,267.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,820.76 : 38,726.48 = 6,845.52 : x
  2. Step 2: Convert to fraction form
    25,820.76/38,726.48 = 6,845.52/x
  3. Step 3: Cross multiply
    25,820.76x = 38,726.48 × 6,845.52
  4. Step 4: Simplify right side
    25,820.76x = 265,102,893.37
  5. Step 5: Solve for x
    x = 265,102,893.37/25,820.76
  6. Step 6: Final answer
    x = 10,267.04

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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.