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Finding the Fourth Proportional to 21,164.88, 31,744.72 and 12,285.05

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Solution

The fourth proportional to 21,164.88, 31,744.72 and 12,285.05 is: 18,426.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,164.88 : 31,744.72 = 12,285.05 : x
  2. Step 2: Convert to fraction form
    21,164.88/31,744.72 = 12,285.05/x
  3. Step 3: Cross multiply
    21,164.88x = 31,744.72 × 12,285.05
  4. Step 4: Simplify right side
    21,164.88x = 389,985,329.07
  5. Step 5: Solve for x
    x = 389,985,329.07/21,164.88
  6. Step 6: Final answer
    x = 18,426.06

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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.