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Finding the Fourth Proportional to 16,825.98, 23,221.86 and 9,752.64

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Solution

The fourth proportional to 16,825.98, 23,221.86 and 9,752.64 is: 13,459.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,825.98 : 23,221.86 = 9,752.64 : x
  2. Step 2: Convert to fraction form
    16,825.98/23,221.86 = 9,752.64/x
  3. Step 3: Cross multiply
    16,825.98x = 23,221.86 × 9,752.64
  4. Step 4: Simplify right side
    16,825.98x = 226,474,440.71
  5. Step 5: Solve for x
    x = 226,474,440.71/16,825.98
  6. Step 6: Final answer
    x = 13,459.81

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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.