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Finding the Fourth Proportional to 13,442.34, 20,157.15 and 4,676.16

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Solution

The fourth proportional to 13,442.34, 20,157.15 and 4,676.16 is: 7,012.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,442.34 : 20,157.15 = 4,676.16 : x
  2. Step 2: Convert to fraction form
    13,442.34/20,157.15 = 4,676.16/x
  3. Step 3: Cross multiply
    13,442.34x = 20,157.15 × 4,676.16
  4. Step 4: Simplify right side
    13,442.34x = 94,258,058.54
  5. Step 5: Solve for x
    x = 94,258,058.54/13,442.34
  6. Step 6: Final answer
    x = 7,012.03

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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.