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Finding the Fourth Proportional to 25,821.44, 38,733.60 and 7,352

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Solution

The fourth proportional to 25,821.44, 38,733.60 and 7,352 is: 11,028.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,821.44 : 38,733.60 = 7,352 : x
  2. Step 2: Convert to fraction form
    25,821.44/38,733.60 = 7,352/x
  3. Step 3: Cross multiply
    25,821.44x = 38,733.60 × 7,352
  4. Step 4: Simplify right side
    25,821.44x = 284,769,427.20
  5. Step 5: Solve for x
    x = 284,769,427.20/25,821.44
  6. Step 6: Final answer
    x = 11,028.41

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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.