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Finding the Fourth Proportional to 13,680.31, 18,878.94 and 7,712.11

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Solution

The fourth proportional to 13,680.31, 18,878.94 and 7,712.11 is: 10,642.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,680.31 : 18,878.94 = 7,712.11 : x
  2. Step 2: Convert to fraction form
    13,680.31/18,878.94 = 7,712.11/x
  3. Step 3: Cross multiply
    13,680.31x = 18,878.94 × 7,712.11
  4. Step 4: Simplify right side
    13,680.31x = 145,596,461.96
  5. Step 5: Solve for x
    x = 145,596,461.96/13,680.31
  6. Step 6: Final answer
    x = 10,642.78

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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.