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Finding the Fourth Proportional to 16,716.75, 23,069.12 and 10,002.66

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Solution

The fourth proportional to 16,716.75, 23,069.12 and 10,002.66 is: 13,803.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,716.75 : 23,069.12 = 10,002.66 : x
  2. Step 2: Convert to fraction form
    16,716.75/23,069.12 = 10,002.66/x
  3. Step 3: Cross multiply
    16,716.75x = 23,069.12 × 10,002.66
  4. Step 4: Simplify right side
    16,716.75x = 230,752,563.86
  5. Step 5: Solve for x
    x = 230,752,563.86/16,716.75
  6. Step 6: Final answer
    x = 13,803.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.