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Finding the Fourth Proportional to 20,852.58, 31,257 and 15,297.60

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Solution

The fourth proportional to 20,852.58, 31,257 and 15,297.60 is: 22,930.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,852.58 : 31,257 = 15,297.60 : x
  2. Step 2: Convert to fraction form
    20,852.58/31,257 = 15,297.60/x
  3. Step 3: Cross multiply
    20,852.58x = 31,257 × 15,297.60
  4. Step 4: Simplify right side
    20,852.58x = 478,157,083.20
  5. Step 5: Solve for x
    x = 478,157,083.20/20,852.58
  6. Step 6: Final answer
    x = 22,930.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.