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Finding the Fourth Proportional to 15,718.50, 23,580.67 and 5,189.26

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Solution

The fourth proportional to 15,718.50, 23,580.67 and 5,189.26 is: 7,784.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,718.50 : 23,580.67 = 5,189.26 : x
  2. Step 2: Convert to fraction form
    15,718.50/23,580.67 = 5,189.26/x
  3. Step 3: Cross multiply
    15,718.50x = 23,580.67 × 5,189.26
  4. Step 4: Simplify right side
    15,718.50x = 122,366,227.60
  5. Step 5: Solve for x
    x = 122,366,227.60/15,718.50
  6. Step 6: Final answer
    x = 7,784.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.