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Finding the Fourth Proportional to 15,846.40, 23,777.76 and 7,087.12

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Solution

The fourth proportional to 15,846.40, 23,777.76 and 7,087.12 is: 10,634.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,846.40 : 23,777.76 = 7,087.12 : x
  2. Step 2: Convert to fraction form
    15,846.40/23,777.76 = 7,087.12/x
  3. Step 3: Cross multiply
    15,846.40x = 23,777.76 × 7,087.12
  4. Step 4: Simplify right side
    15,846.40x = 168,515,838.45
  5. Step 5: Solve for x
    x = 168,515,838.45/15,846.40
  6. Step 6: Final answer
    x = 10,634.33

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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.