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Finding the Fourth Proportional to 11,606.40, 17,385.30 and 9,129.60

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Solution

The fourth proportional to 11,606.40, 17,385.30 and 9,129.60 is: 13,675.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,606.40 : 17,385.30 = 9,129.60 : x
  2. Step 2: Convert to fraction form
    11,606.40/17,385.30 = 9,129.60/x
  3. Step 3: Cross multiply
    11,606.40x = 17,385.30 × 9,129.60
  4. Step 4: Simplify right side
    11,606.40x = 158,720,834.88
  5. Step 5: Solve for x
    x = 158,720,834.88/11,606.40
  6. Step 6: Final answer
    x = 13,675.29

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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.