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Finding the Fourth Proportional to 12,435.40, 18,653.10 and 11,830.60

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Solution

The fourth proportional to 12,435.40, 18,653.10 and 11,830.60 is: 17,745.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,435.40 : 18,653.10 = 11,830.60 : x
  2. Step 2: Convert to fraction form
    12,435.40/18,653.10 = 11,830.60/x
  3. Step 3: Cross multiply
    12,435.40x = 18,653.10 × 11,830.60
  4. Step 4: Simplify right side
    12,435.40x = 220,677,364.86
  5. Step 5: Solve for x
    x = 220,677,364.86/12,435.40
  6. Step 6: Final answer
    x = 17,745.90

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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.