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Finding the Fourth Proportional to 17,174.50, 23,702.80 and 10,464.06

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Solution

The fourth proportional to 17,174.50, 23,702.80 and 10,464.06 is: 14,441.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,174.50 : 23,702.80 = 10,464.06 : x
  2. Step 2: Convert to fraction form
    17,174.50/23,702.80 = 10,464.06/x
  3. Step 3: Cross multiply
    17,174.50x = 23,702.80 × 10,464.06
  4. Step 4: Simplify right side
    17,174.50x = 248,027,521.37
  5. Step 5: Solve for x
    x = 248,027,521.37/17,174.50
  6. Step 6: Final answer
    x = 14,441.62

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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.