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Finding the Fourth Proportional to 24,172.56, 36,262.30 and 10,678.76

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Solution

The fourth proportional to 24,172.56, 36,262.30 and 10,678.76 is: 16,019.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,172.56 : 36,262.30 = 10,678.76 : x
  2. Step 2: Convert to fraction form
    24,172.56/36,262.30 = 10,678.76/x
  3. Step 3: Cross multiply
    24,172.56x = 36,262.30 × 10,678.76
  4. Step 4: Simplify right side
    24,172.56x = 387,236,398.75
  5. Step 5: Solve for x
    x = 387,236,398.75/24,172.56
  6. Step 6: Final answer
    x = 16,019.67

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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.