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Finding the Fourth Proportional to 21,167.44, 31,744.67 and 14,635.60

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Solution

The fourth proportional to 21,167.44, 31,744.67 and 14,635.60 is: 21,948.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,167.44 : 31,744.67 = 14,635.60 : x
  2. Step 2: Convert to fraction form
    21,167.44/31,744.67 = 14,635.60/x
  3. Step 3: Cross multiply
    21,167.44x = 31,744.67 × 14,635.60
  4. Step 4: Simplify right side
    21,167.44x = 464,602,292.25
  5. Step 5: Solve for x
    x = 464,602,292.25/21,167.44
  6. Step 6: Final answer
    x = 21,948.91

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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.