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Finding the Fourth Proportional to 38,522.28, 57,785.94 and 11,865

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Solution

The fourth proportional to 38,522.28, 57,785.94 and 11,865 is: 17,798.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,522.28 : 57,785.94 = 11,865 : x
  2. Step 2: Convert to fraction form
    38,522.28/57,785.94 = 11,865/x
  3. Step 3: Cross multiply
    38,522.28x = 57,785.94 × 11,865
  4. Step 4: Simplify right side
    38,522.28x = 685,630,178.10
  5. Step 5: Solve for x
    x = 685,630,178.10/38,522.28
  6. Step 6: Final answer
    x = 17,798.28

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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.