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Finding the Fourth Proportional to 38,490.90, 57,746.58 and 12,195.60

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Solution

The fourth proportional to 38,490.90, 57,746.58 and 12,195.60 is: 18,296.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,490.90 : 57,746.58 = 12,195.60 : x
  2. Step 2: Convert to fraction form
    38,490.90/57,746.58 = 12,195.60/x
  3. Step 3: Cross multiply
    38,490.90x = 57,746.58 × 12,195.60
  4. Step 4: Simplify right side
    38,490.90x = 704,254,191.05
  5. Step 5: Solve for x
    x = 704,254,191.05/38,490.90
  6. Step 6: Final answer
    x = 18,296.64

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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.