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Finding the Fourth Proportional to 15,720.75, 23,580.09 and 5,189.66

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Solution

The fourth proportional to 15,720.75, 23,580.09 and 5,189.66 is: 7,784.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,720.75 : 23,580.09 = 5,189.66 : x
  2. Step 2: Convert to fraction form
    15,720.75/23,580.09 = 5,189.66/x
  3. Step 3: Cross multiply
    15,720.75x = 23,580.09 × 5,189.66
  4. Step 4: Simplify right side
    15,720.75x = 122,372,649.87
  5. Step 5: Solve for x
    x = 122,372,649.87/15,720.75
  6. Step 6: Final answer
    x = 7,784.15

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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.