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Finding the Fourth Proportional to 14,591.09, 21,893.48 and 7,191.52

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Solution

The fourth proportional to 14,591.09, 21,893.48 and 7,191.52 is: 10,790.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,591.09 : 21,893.48 = 7,191.52 : x
  2. Step 2: Convert to fraction form
    14,591.09/21,893.48 = 7,191.52/x
  3. Step 3: Cross multiply
    14,591.09x = 21,893.48 × 7,191.52
  4. Step 4: Simplify right side
    14,591.09x = 157,447,322.08
  5. Step 5: Solve for x
    x = 157,447,322.08/14,591.09
  6. Step 6: Final answer
    x = 10,790.65

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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.