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Finding the Fourth Proportional to 15,720, 21,693.60 and 9,096

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Solution

The fourth proportional to 15,720, 21,693.60 and 9,096 is: 12,552.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,720 : 21,693.60 = 9,096 : x
  2. Step 2: Convert to fraction form
    15,720/21,693.60 = 9,096/x
  3. Step 3: Cross multiply
    15,720x = 21,693.60 × 9,096
  4. Step 4: Simplify right side
    15,720x = 197,324,985.60
  5. Step 5: Solve for x
    x = 197,324,985.60/15,720
  6. Step 6: Final answer
    x = 12,552.48

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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.