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Finding the Fourth Proportional to 14,914.70, 20,582.84 and 8,542.28

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Solution

The fourth proportional to 14,914.70, 20,582.84 and 8,542.28 is: 11,788.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,914.70 : 20,582.84 = 8,542.28 : x
  2. Step 2: Convert to fraction form
    14,914.70/20,582.84 = 8,542.28/x
  3. Step 3: Cross multiply
    14,914.70x = 20,582.84 × 8,542.28
  4. Step 4: Simplify right side
    14,914.70x = 175,824,382.48
  5. Step 5: Solve for x
    x = 175,824,382.48/14,914.70
  6. Step 6: Final answer
    x = 11,788.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.