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Finding the Fourth Proportional to 12,812.06, 17,681.86 and 8,032.76

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Solution

The fourth proportional to 12,812.06, 17,681.86 and 8,032.76 is: 11,085.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,812.06 : 17,681.86 = 8,032.76 : x
  2. Step 2: Convert to fraction form
    12,812.06/17,681.86 = 8,032.76/x
  3. Step 3: Cross multiply
    12,812.06x = 17,681.86 × 8,032.76
  4. Step 4: Simplify right side
    12,812.06x = 142,034,137.73
  5. Step 5: Solve for x
    x = 142,034,137.73/12,812.06
  6. Step 6: Final answer
    x = 11,085.97

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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.