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Finding the Fourth Proportional to 12,125.76, 18,192.03 and 5,102.16

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Solution

The fourth proportional to 12,125.76, 18,192.03 and 5,102.16 is: 7,654.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,125.76 : 18,192.03 = 5,102.16 : x
  2. Step 2: Convert to fraction form
    12,125.76/18,192.03 = 5,102.16/x
  3. Step 3: Cross multiply
    12,125.76x = 18,192.03 × 5,102.16
  4. Step 4: Simplify right side
    12,125.76x = 92,818,647.78
  5. Step 5: Solve for x
    x = 92,818,647.78/12,125.76
  6. Step 6: Final answer
    x = 7,654.67

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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.