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Finding the Fourth Proportional to 13,442.84, 20,157.90 and 4,676.66

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Solution

The fourth proportional to 13,442.84, 20,157.90 and 4,676.66 is: 7,012.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,442.84 : 20,157.90 = 4,676.66 : x
  2. Step 2: Convert to fraction form
    13,442.84/20,157.90 = 4,676.66/x
  3. Step 3: Cross multiply
    13,442.84x = 20,157.90 × 4,676.66
  4. Step 4: Simplify right side
    13,442.84x = 94,271,644.61
  5. Step 5: Solve for x
    x = 94,271,644.61/13,442.84
  6. Step 6: Final answer
    x = 7,012.78

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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.