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Finding the Fourth Proportional to 12,288.19, 16,952.89 and 7,564.27

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Solution

The fourth proportional to 12,288.19, 16,952.89 and 7,564.27 is: 10,435.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,288.19 : 16,952.89 = 7,564.27 : x
  2. Step 2: Convert to fraction form
    12,288.19/16,952.89 = 7,564.27/x
  3. Step 3: Cross multiply
    12,288.19x = 16,952.89 × 7,564.27
  4. Step 4: Simplify right side
    12,288.19x = 128,236,157.04
  5. Step 5: Solve for x
    x = 128,236,157.04/12,288.19
  6. Step 6: Final answer
    x = 10,435.73

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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.