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Finding the Fourth Proportional to 16,294.34, 22,466.48 and 13,772

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Solution

The fourth proportional to 16,294.34, 22,466.48 and 13,772 is: 18,988.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,294.34 : 22,466.48 = 13,772 : x
  2. Step 2: Convert to fraction form
    16,294.34/22,466.48 = 13,772/x
  3. Step 3: Cross multiply
    16,294.34x = 22,466.48 × 13,772
  4. Step 4: Simplify right side
    16,294.34x = 309,408,362.56
  5. Step 5: Solve for x
    x = 309,408,362.56/16,294.34
  6. Step 6: Final answer
    x = 18,988.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.