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Finding the Fourth Proportional to 13,100.96, 18,061.20 and 9,564.32

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Solution

The fourth proportional to 13,100.96, 18,061.20 and 9,564.32 is: 13,185.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,100.96 : 18,061.20 = 9,564.32 : x
  2. Step 2: Convert to fraction form
    13,100.96/18,061.20 = 9,564.32/x
  3. Step 3: Cross multiply
    13,100.96x = 18,061.20 × 9,564.32
  4. Step 4: Simplify right side
    13,100.96x = 172,743,096.38
  5. Step 5: Solve for x
    x = 172,743,096.38/13,100.96
  6. Step 6: Final answer
    x = 13,185.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.