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Finding the Fourth Proportional to 11,478.84, 17,202.09 and 9,128.40

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Solution

The fourth proportional to 11,478.84, 17,202.09 and 9,128.40 is: 13,679.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,478.84 : 17,202.09 = 9,128.40 : x
  2. Step 2: Convert to fraction form
    11,478.84/17,202.09 = 9,128.40/x
  3. Step 3: Cross multiply
    11,478.84x = 17,202.09 × 9,128.40
  4. Step 4: Simplify right side
    11,478.84x = 157,027,558.36
  5. Step 5: Solve for x
    x = 157,027,558.36/11,478.84
  6. Step 6: Final answer
    x = 13,679.74

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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.