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Finding the Fourth Proportional to 12,721.41, 17,555.04 and 7,688.58

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Solution

The fourth proportional to 12,721.41, 17,555.04 and 7,688.58 is: 10,609.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,721.41 : 17,555.04 = 7,688.58 : x
  2. Step 2: Convert to fraction form
    12,721.41/17,555.04 = 7,688.58/x
  3. Step 3: Cross multiply
    12,721.41x = 17,555.04 × 7,688.58
  4. Step 4: Simplify right side
    12,721.41x = 134,973,329.44
  5. Step 5: Solve for x
    x = 134,973,329.44/12,721.41
  6. Step 6: Final answer
    x = 10,609.93

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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.