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Finding the Fourth Proportional to 17,794.50, 24,554.28 and 9,835.65

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Solution

The fourth proportional to 17,794.50, 24,554.28 and 9,835.65 is: 13,572.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,794.50 : 24,554.28 = 9,835.65 : x
  2. Step 2: Convert to fraction form
    17,794.50/24,554.28 = 9,835.65/x
  3. Step 3: Cross multiply
    17,794.50x = 24,554.28 × 9,835.65
  4. Step 4: Simplify right side
    17,794.50x = 241,507,304.08
  5. Step 5: Solve for x
    x = 241,507,304.08/17,794.50
  6. Step 6: Final answer
    x = 13,572.02

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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.