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Finding the Fourth Proportional to 13,200.68, 19,753.84 and 11,466.12

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Solution

The fourth proportional to 13,200.68, 19,753.84 and 11,466.12 is: 17,158.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,200.68 : 19,753.84 = 11,466.12 : x
  2. Step 2: Convert to fraction form
    13,200.68/19,753.84 = 11,466.12/x
  3. Step 3: Cross multiply
    13,200.68x = 19,753.84 × 11,466.12
  4. Step 4: Simplify right side
    13,200.68x = 226,499,988.31
  5. Step 5: Solve for x
    x = 226,499,988.31/13,200.68
  6. Step 6: Final answer
    x = 17,158.20

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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.