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Finding the Fourth Proportional to 15,771.81, 23,657.72 and 6,416.92

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Solution

The fourth proportional to 15,771.81, 23,657.72 and 6,416.92 is: 9,625.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,771.81 : 23,657.72 = 6,416.92 : x
  2. Step 2: Convert to fraction form
    15,771.81/23,657.72 = 6,416.92/x
  3. Step 3: Cross multiply
    15,771.81x = 23,657.72 × 6,416.92
  4. Step 4: Simplify right side
    15,771.81x = 151,809,696.62
  5. Step 5: Solve for x
    x = 151,809,696.62/15,771.81
  6. Step 6: Final answer
    x = 9,625.38

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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.