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Finding the Fourth Proportional to 12,832.40, 19,237.80 and 6,676.40

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Solution

The fourth proportional to 12,832.40, 19,237.80 and 6,676.40 is: 10,008.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,832.40 : 19,237.80 = 6,676.40 : x
  2. Step 2: Convert to fraction form
    12,832.40/19,237.80 = 6,676.40/x
  3. Step 3: Cross multiply
    12,832.40x = 19,237.80 × 6,676.40
  4. Step 4: Simplify right side
    12,832.40x = 128,439,247.92
  5. Step 5: Solve for x
    x = 128,439,247.92/12,832.40
  6. Step 6: Final answer
    x = 10,008.98

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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.