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Finding the Fourth Proportional to 14,302.97, 19,733.46 and 9,271.12

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Solution

The fourth proportional to 14,302.97, 19,733.46 and 9,271.12 is: 12,791.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,302.97 : 19,733.46 = 9,271.12 : x
  2. Step 2: Convert to fraction form
    14,302.97/19,733.46 = 9,271.12/x
  3. Step 3: Cross multiply
    14,302.97x = 19,733.46 × 9,271.12
  4. Step 4: Simplify right side
    14,302.97x = 182,951,177.01
  5. Step 5: Solve for x
    x = 182,951,177.01/14,302.97
  6. Step 6: Final answer
    x = 12,791.13

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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.