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Finding the Fourth Proportional to 13,564.85, 18,725.97 and 9,035.06

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Solution

The fourth proportional to 13,564.85, 18,725.97 and 9,035.06 is: 12,472.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,564.85 : 18,725.97 = 9,035.06 : x
  2. Step 2: Convert to fraction form
    13,564.85/18,725.97 = 9,035.06/x
  3. Step 3: Cross multiply
    13,564.85x = 18,725.97 × 9,035.06
  4. Step 4: Simplify right side
    13,564.85x = 169,190,168.88
  5. Step 5: Solve for x
    x = 169,190,168.88/13,564.85
  6. Step 6: Final answer
    x = 12,472.69

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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.