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Finding the Fourth Proportional to 14,972.67, 20,512.53 and 14,411.88

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Solution

The fourth proportional to 14,972.67, 20,512.53 and 14,411.88 is: 19,744.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,972.67 : 20,512.53 = 14,411.88 : x
  2. Step 2: Convert to fraction form
    14,972.67/20,512.53 = 14,411.88/x
  3. Step 3: Cross multiply
    14,972.67x = 20,512.53 × 14,411.88
  4. Step 4: Simplify right side
    14,972.67x = 295,624,120.86
  5. Step 5: Solve for x
    x = 295,624,120.86/14,972.67
  6. Step 6: Final answer
    x = 19,744.25

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.