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Finding the Fourth Proportional to 13,676.34, 20,407.16 and 12,840.42

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Solution

The fourth proportional to 13,676.34, 20,407.16 and 12,840.42 is: 19,159.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,676.34 : 20,407.16 = 12,840.42 : x
  2. Step 2: Convert to fraction form
    13,676.34/20,407.16 = 12,840.42/x
  3. Step 3: Cross multiply
    13,676.34x = 20,407.16 × 12,840.42
  4. Step 4: Simplify right side
    13,676.34x = 262,036,505.41
  5. Step 5: Solve for x
    x = 262,036,505.41/13,676.34
  6. Step 6: Final answer
    x = 19,159.84

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.