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Finding the Fourth Proportional to 14,646.27, 21,968.90 and 4,116.37

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Solution

The fourth proportional to 14,646.27, 21,968.90 and 4,116.37 is: 6,174.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,646.27 : 21,968.90 = 4,116.37 : x
  2. Step 2: Convert to fraction form
    14,646.27/21,968.90 = 4,116.37/x
  3. Step 3: Cross multiply
    14,646.27x = 21,968.90 × 4,116.37
  4. Step 4: Simplify right side
    14,646.27x = 90,432,100.31
  5. Step 5: Solve for x
    x = 90,432,100.31/14,646.27
  6. Step 6: Final answer
    x = 6,174.41

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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.