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Finding the Fourth Proportional to 16,825.76, 23,217.96 and 9,752.60

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Solution

The fourth proportional to 16,825.76, 23,217.96 and 9,752.60 is: 13,457.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,825.76 : 23,217.96 = 9,752.60 : x
  2. Step 2: Convert to fraction form
    16,825.76/23,217.96 = 9,752.60/x
  3. Step 3: Cross multiply
    16,825.76x = 23,217.96 × 9,752.60
  4. Step 4: Simplify right side
    16,825.76x = 226,435,476.70
  5. Step 5: Solve for x
    x = 226,435,476.70/16,825.76
  6. Step 6: Final answer
    x = 13,457.67

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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.