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Finding the Fourth Proportional to 12,289.46, 16,958.97 and 7,253.82

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Solution

The fourth proportional to 12,289.46, 16,958.97 and 7,253.82 is: 10,009.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,289.46 : 16,958.97 = 7,253.82 : x
  2. Step 2: Convert to fraction form
    12,289.46/16,958.97 = 7,253.82/x
  3. Step 3: Cross multiply
    12,289.46x = 16,958.97 × 7,253.82
  4. Step 4: Simplify right side
    12,289.46x = 123,017,315.77
  5. Step 5: Solve for x
    x = 123,017,315.77/12,289.46
  6. Step 6: Final answer
    x = 10,009.99

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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.