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Finding the Fourth Proportional to 38,430.40, 57,647.40 and 12,137.20

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Solution

The fourth proportional to 38,430.40, 57,647.40 and 12,137.20 is: 18,206.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,430.40 : 57,647.40 = 12,137.20 : x
  2. Step 2: Convert to fraction form
    38,430.40/57,647.40 = 12,137.20/x
  3. Step 3: Cross multiply
    38,430.40x = 57,647.40 × 12,137.20
  4. Step 4: Simplify right side
    38,430.40x = 699,678,023.28
  5. Step 5: Solve for x
    x = 699,678,023.28/38,430.40
  6. Step 6: Final answer
    x = 18,206.37

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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.