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Finding the Fourth Proportional to 11,533.56, 17,291.54 and 9,553.12

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Solution

The fourth proportional to 11,533.56, 17,291.54 and 9,553.12 is: 14,322.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,533.56 : 17,291.54 = 9,553.12 : x
  2. Step 2: Convert to fraction form
    11,533.56/17,291.54 = 9,553.12/x
  3. Step 3: Cross multiply
    11,533.56x = 17,291.54 × 9,553.12
  4. Step 4: Simplify right side
    11,533.56x = 165,188,156.60
  5. Step 5: Solve for x
    x = 165,188,156.60/11,533.56
  6. Step 6: Final answer
    x = 14,322.39

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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.