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Finding the Fourth Proportional to 12,851.12, 17,733.12 and 7,262.12

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Solution

The fourth proportional to 12,851.12, 17,733.12 and 7,262.12 is: 10,020.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,851.12 : 17,733.12 = 7,262.12 : x
  2. Step 2: Convert to fraction form
    12,851.12/17,733.12 = 7,262.12/x
  3. Step 3: Cross multiply
    12,851.12x = 17,733.12 × 7,262.12
  4. Step 4: Simplify right side
    12,851.12x = 128,780,045.41
  5. Step 5: Solve for x
    x = 128,780,045.41/12,851.12
  6. Step 6: Final answer
    x = 10,020.92

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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.