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Finding the Fourth Proportional to 11,494.49, 17,276.13 and 9,533.03

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Solution

The fourth proportional to 11,494.49, 17,276.13 and 9,533.03 is: 14,328.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,494.49 : 17,276.13 = 9,533.03 : x
  2. Step 2: Convert to fraction form
    11,494.49/17,276.13 = 9,533.03/x
  3. Step 3: Cross multiply
    11,494.49x = 17,276.13 × 9,533.03
  4. Step 4: Simplify right side
    11,494.49x = 164,693,779.19
  5. Step 5: Solve for x
    x = 164,693,779.19/11,494.49
  6. Step 6: Final answer
    x = 14,328.07

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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.