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Finding the Fourth Proportional to 38,491.90, 57,748.08 and 12,196.60

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Solution

The fourth proportional to 38,491.90, 57,748.08 and 12,196.60 is: 18,298.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,491.90 : 57,748.08 = 12,196.60 : x
  2. Step 2: Convert to fraction form
    38,491.90/57,748.08 = 12,196.60/x
  3. Step 3: Cross multiply
    38,491.90x = 57,748.08 × 12,196.60
  4. Step 4: Simplify right side
    38,491.90x = 704,330,232.53
  5. Step 5: Solve for x
    x = 704,330,232.53/38,491.90
  6. Step 6: Final answer
    x = 18,298.14

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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.