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Finding the Fourth Proportional to 12,159.24, 16,768.56 and 7,675.24

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Solution

The fourth proportional to 12,159.24, 16,768.56 and 7,675.24 is: 10,584.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,159.24 : 16,768.56 = 7,675.24 : x
  2. Step 2: Convert to fraction form
    12,159.24/16,768.56 = 7,675.24/x
  3. Step 3: Cross multiply
    12,159.24x = 16,768.56 × 7,675.24
  4. Step 4: Simplify right side
    12,159.24x = 128,702,722.45
  5. Step 5: Solve for x
    x = 128,702,722.45/12,159.24
  6. Step 6: Final answer
    x = 10,584.77

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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.