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Finding the Fourth Proportional to 19,965.25, 27,562.85 and 12,009.25

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Solution

The fourth proportional to 19,965.25, 27,562.85 and 12,009.25 is: 16,579.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,965.25 : 27,562.85 = 12,009.25 : x
  2. Step 2: Convert to fraction form
    19,965.25/27,562.85 = 12,009.25/x
  3. Step 3: Cross multiply
    19,965.25x = 27,562.85 × 12,009.25
  4. Step 4: Simplify right side
    19,965.25x = 331,009,156.36
  5. Step 5: Solve for x
    x = 331,009,156.36/19,965.25
  6. Step 6: Final answer
    x = 16,579.26

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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.