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Finding the Fourth Proportional to 15,927.41, 23,909.54 and 8,546.28

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Solution

The fourth proportional to 15,927.41, 23,909.54 and 8,546.28 is: 12,829.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,927.41 : 23,909.54 = 8,546.28 : x
  2. Step 2: Convert to fraction form
    15,927.41/23,909.54 = 8,546.28/x
  3. Step 3: Cross multiply
    15,927.41x = 23,909.54 × 8,546.28
  4. Step 4: Simplify right side
    15,927.41x = 204,337,580.78
  5. Step 5: Solve for x
    x = 204,337,580.78/15,927.41
  6. Step 6: Final answer
    x = 12,829.31

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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.