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Finding the Fourth Proportional to 12,435.04, 18,676.50 and 11,978.20

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Solution

The fourth proportional to 12,435.04, 18,676.50 and 11,978.20 is: 17,990.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,435.04 : 18,676.50 = 11,978.20 : x
  2. Step 2: Convert to fraction form
    12,435.04/18,676.50 = 11,978.20/x
  3. Step 3: Cross multiply
    12,435.04x = 18,676.50 × 11,978.20
  4. Step 4: Simplify right side
    12,435.04x = 223,710,852.30
  5. Step 5: Solve for x
    x = 223,710,852.30/12,435.04
  6. Step 6: Final answer
    x = 17,990.36

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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.