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Finding the Fourth Proportional to 13,533.62, 18,656.52 and 8,753.20

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Solution

The fourth proportional to 13,533.62, 18,656.52 and 8,753.20 is: 12,066.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,533.62 : 18,656.52 = 8,753.20 : x
  2. Step 2: Convert to fraction form
    13,533.62/18,656.52 = 8,753.20/x
  3. Step 3: Cross multiply
    13,533.62x = 18,656.52 × 8,753.20
  4. Step 4: Simplify right side
    13,533.62x = 163,304,250.86
  5. Step 5: Solve for x
    x = 163,304,250.86/13,533.62
  6. Step 6: Final answer
    x = 12,066.56

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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.