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Finding the Fourth Proportional to 14,121.47, 21,174.96 and 7,461.54

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Solution

The fourth proportional to 14,121.47, 21,174.96 and 7,461.54 is: 11,188.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,121.47 : 21,174.96 = 7,461.54 : x
  2. Step 2: Convert to fraction form
    14,121.47/21,174.96 = 7,461.54/x
  3. Step 3: Cross multiply
    14,121.47x = 21,174.96 × 7,461.54
  4. Step 4: Simplify right side
    14,121.47x = 157,997,811.04
  5. Step 5: Solve for x
    x = 157,997,811.04/14,121.47
  6. Step 6: Final answer
    x = 11,188.48

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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.