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Finding the Fourth Proportional to 24,005.53, 36,024.09 and 8,422.75

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Solution

The fourth proportional to 24,005.53, 36,024.09 and 8,422.75 is: 12,639.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,005.53 : 36,024.09 = 8,422.75 : x
  2. Step 2: Convert to fraction form
    24,005.53/36,024.09 = 8,422.75/x
  3. Step 3: Cross multiply
    24,005.53x = 36,024.09 × 8,422.75
  4. Step 4: Simplify right side
    24,005.53x = 303,421,904.05
  5. Step 5: Solve for x
    x = 303,421,904.05/24,005.53
  6. Step 6: Final answer
    x = 12,639.67

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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.