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Finding the Fourth Proportional to 38,266.08, 57,399.04 and 10,564

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Solution

The fourth proportional to 38,266.08, 57,399.04 and 10,564 is: 15,845.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,266.08 : 57,399.04 = 10,564 : x
  2. Step 2: Convert to fraction form
    38,266.08/57,399.04 = 10,564/x
  3. Step 3: Cross multiply
    38,266.08x = 57,399.04 × 10,564
  4. Step 4: Simplify right side
    38,266.08x = 606,363,458.56
  5. Step 5: Solve for x
    x = 606,363,458.56/38,266.08
  6. Step 6: Final answer
    x = 15,845.98

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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.