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Finding the Fourth Proportional to 39,491.46, 59,238 and 13,196.43

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Solution

The fourth proportional to 39,491.46, 59,238 and 13,196.43 is: 19,794.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,491.46 : 59,238 = 13,196.43 : x
  2. Step 2: Convert to fraction form
    39,491.46/59,238 = 13,196.43/x
  3. Step 3: Cross multiply
    39,491.46x = 59,238 × 13,196.43
  4. Step 4: Simplify right side
    39,491.46x = 781,730,120.34
  5. Step 5: Solve for x
    x = 781,730,120.34/39,491.46
  6. Step 6: Final answer
    x = 19,794.92

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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.