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Finding the Fourth Proportional to 13,484.34, 20,266.88 and 11,159.28

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Solution

The fourth proportional to 13,484.34, 20,266.88 and 11,159.28 is: 16,772.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,484.34 : 20,266.88 = 11,159.28 : x
  2. Step 2: Convert to fraction form
    13,484.34/20,266.88 = 11,159.28/x
  3. Step 3: Cross multiply
    13,484.34x = 20,266.88 × 11,159.28
  4. Step 4: Simplify right side
    13,484.34x = 226,163,732.85
  5. Step 5: Solve for x
    x = 226,163,732.85/13,484.34
  6. Step 6: Final answer
    x = 16,772.32

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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.