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Finding the Fourth Proportional to 14,174.19, 21,262.73 and 5,416.47

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Solution

The fourth proportional to 14,174.19, 21,262.73 and 5,416.47 is: 8,125.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,174.19 : 21,262.73 = 5,416.47 : x
  2. Step 2: Convert to fraction form
    14,174.19/21,262.73 = 5,416.47/x
  3. Step 3: Cross multiply
    14,174.19x = 21,262.73 × 5,416.47
  4. Step 4: Simplify right side
    14,174.19x = 115,168,912.08
  5. Step 5: Solve for x
    x = 115,168,912.08/14,174.19
  6. Step 6: Final answer
    x = 8,125.26

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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.