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Finding the Fourth Proportional to 17,311.72, 23,890.20 and 9,758.08

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Solution

The fourth proportional to 17,311.72, 23,890.20 and 9,758.08 is: 13,466.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,311.72 : 23,890.20 = 9,758.08 : x
  2. Step 2: Convert to fraction form
    17,311.72/23,890.20 = 9,758.08/x
  3. Step 3: Cross multiply
    17,311.72x = 23,890.20 × 9,758.08
  4. Step 4: Simplify right side
    17,311.72x = 233,122,482.82
  5. Step 5: Solve for x
    x = 233,122,482.82/17,311.72
  6. Step 6: Final answer
    x = 13,466.17

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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.