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Finding the Fourth Proportional to 20,775.54, 31,175.64 and 8,301.45

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Solution

The fourth proportional to 20,775.54, 31,175.64 and 8,301.45 is: 12,457.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,775.54 : 31,175.64 = 8,301.45 : x
  2. Step 2: Convert to fraction form
    20,775.54/31,175.64 = 8,301.45/x
  3. Step 3: Cross multiply
    20,775.54x = 31,175.64 × 8,301.45
  4. Step 4: Simplify right side
    20,775.54x = 258,803,016.68
  5. Step 5: Solve for x
    x = 258,803,016.68/20,775.54
  6. Step 6: Final answer
    x = 12,457.10

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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.