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Finding the Fourth Proportional to 16,334.64, 24,503.52 and 5,238.78

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Solution

The fourth proportional to 16,334.64, 24,503.52 and 5,238.78 is: 7,858.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,334.64 : 24,503.52 = 5,238.78 : x
  2. Step 2: Convert to fraction form
    16,334.64/24,503.52 = 5,238.78/x
  3. Step 3: Cross multiply
    16,334.64x = 24,503.52 × 5,238.78
  4. Step 4: Simplify right side
    16,334.64x = 128,368,550.51
  5. Step 5: Solve for x
    x = 128,368,550.51/16,334.64
  6. Step 6: Final answer
    x = 7,858.67

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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.