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Finding the Fourth Proportional to 15,914.88, 23,755.50 and 14,742

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Solution

The fourth proportional to 15,914.88, 23,755.50 and 14,742 is: 22,004.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,914.88 : 23,755.50 = 14,742 : x
  2. Step 2: Convert to fraction form
    15,914.88/23,755.50 = 14,742/x
  3. Step 3: Cross multiply
    15,914.88x = 23,755.50 × 14,742
  4. Step 4: Simplify right side
    15,914.88x = 350,203,581
  5. Step 5: Solve for x
    x = 350,203,581/15,914.88
  6. Step 6: Final answer
    x = 22,004.79

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.