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Finding the Fourth Proportional to 17,795.84, 24,558.32 and 9,729.65

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Solution

The fourth proportional to 17,795.84, 24,558.32 and 9,729.65 is: 13,426.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,795.84 : 24,558.32 = 9,729.65 : x
  2. Step 2: Convert to fraction form
    17,795.84/24,558.32 = 9,729.65/x
  3. Step 3: Cross multiply
    17,795.84x = 24,558.32 × 9,729.65
  4. Step 4: Simplify right side
    17,795.84x = 238,943,943.91
  5. Step 5: Solve for x
    x = 238,943,943.91/17,795.84
  6. Step 6: Final answer
    x = 13,426.96

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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.