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Finding the Fourth Proportional to 12,434.76, 18,651.02 and 7,745.45

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Solution

The fourth proportional to 12,434.76, 18,651.02 and 7,745.45 is: 11,617.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,434.76 : 18,651.02 = 7,745.45 : x
  2. Step 2: Convert to fraction form
    12,434.76/18,651.02 = 7,745.45/x
  3. Step 3: Cross multiply
    12,434.76x = 18,651.02 × 7,745.45
  4. Step 4: Simplify right side
    12,434.76x = 144,460,410.88
  5. Step 5: Solve for x
    x = 144,460,410.88/12,434.76
  6. Step 6: Final answer
    x = 11,617.47

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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.