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Finding the Fourth Proportional to 38,266.64, 57,403.26 and 10,564.64

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Solution

The fourth proportional to 38,266.64, 57,403.26 and 10,564.64 is: 15,847.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,266.64 : 57,403.26 = 10,564.64 : x
  2. Step 2: Convert to fraction form
    38,266.64/57,403.26 = 10,564.64/x
  3. Step 3: Cross multiply
    38,266.64x = 57,403.26 × 10,564.64
  4. Step 4: Simplify right side
    38,266.64x = 606,444,776.73
  5. Step 5: Solve for x
    x = 606,444,776.73/38,266.64
  6. Step 6: Final answer
    x = 15,847.87

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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.