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Finding the Fourth Proportional to 15,914.25, 23,871.42 and 5,526

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Solution

The fourth proportional to 15,914.25, 23,871.42 and 5,526 is: 8,289.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,914.25 : 23,871.42 = 5,526 : x
  2. Step 2: Convert to fraction form
    15,914.25/23,871.42 = 5,526/x
  3. Step 3: Cross multiply
    15,914.25x = 23,871.42 × 5,526
  4. Step 4: Simplify right side
    15,914.25x = 131,913,466.92
  5. Step 5: Solve for x
    x = 131,913,466.92/15,914.25
  6. Step 6: Final answer
    x = 8,289.02

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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.