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Finding the Fourth Proportional to 14,302.80, 19,731.18 and 9,268.74

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Solution

The fourth proportional to 14,302.80, 19,731.18 and 9,268.74 is: 12,786.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,302.80 : 19,731.18 = 9,268.74 : x
  2. Step 2: Convert to fraction form
    14,302.80/19,731.18 = 9,268.74/x
  3. Step 3: Cross multiply
    14,302.80x = 19,731.18 × 9,268.74
  4. Step 4: Simplify right side
    14,302.80x = 182,883,177.31
  5. Step 5: Solve for x
    x = 182,883,177.31/14,302.80
  6. Step 6: Final answer
    x = 12,786.53

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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.