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Finding the Fourth Proportional to 14,285.80, 19,716.74 and 8,542.88

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Solution

The fourth proportional to 14,285.80, 19,716.74 and 8,542.88 is: 11,790.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,285.80 : 19,716.74 = 8,542.88 : x
  2. Step 2: Convert to fraction form
    14,285.80/19,716.74 = 8,542.88/x
  3. Step 3: Cross multiply
    14,285.80x = 19,716.74 × 8,542.88
  4. Step 4: Simplify right side
    14,285.80x = 168,437,743.81
  5. Step 5: Solve for x
    x = 168,437,743.81/14,285.80
  6. Step 6: Final answer
    x = 11,790.57

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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.