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Finding the Fourth Proportional to 16,505.28, 24,752.14 and 6,642

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Solution

The fourth proportional to 16,505.28, 24,752.14 and 6,642 is: 9,960.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,505.28 : 24,752.14 = 6,642 : x
  2. Step 2: Convert to fraction form
    16,505.28/24,752.14 = 6,642/x
  3. Step 3: Cross multiply
    16,505.28x = 24,752.14 × 6,642
  4. Step 4: Simplify right side
    16,505.28x = 164,403,713.88
  5. Step 5: Solve for x
    x = 164,403,713.88/16,505.28
  6. Step 6: Final answer
    x = 9,960.67

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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.