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Finding the Fourth Proportional to 16,905.49, 25,364.24 and 7,544.65

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Solution

The fourth proportional to 16,905.49, 25,364.24 and 7,544.65 is: 11,319.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,905.49 : 25,364.24 = 7,544.65 : x
  2. Step 2: Convert to fraction form
    16,905.49/25,364.24 = 7,544.65/x
  3. Step 3: Cross multiply
    16,905.49x = 25,364.24 × 7,544.65
  4. Step 4: Simplify right side
    16,905.49x = 191,364,313.32
  5. Step 5: Solve for x
    x = 191,364,313.32/16,905.49
  6. Step 6: Final answer
    x = 11,319.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.