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Finding the Fourth Proportional to 12,721.32, 17,555.40 and 7,415.10

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Solution

The fourth proportional to 12,721.32, 17,555.40 and 7,415.10 is: 10,232.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,721.32 : 17,555.40 = 7,415.10 : x
  2. Step 2: Convert to fraction form
    12,721.32/17,555.40 = 7,415.10/x
  3. Step 3: Cross multiply
    12,721.32x = 17,555.40 × 7,415.10
  4. Step 4: Simplify right side
    12,721.32x = 130,175,046.54
  5. Step 5: Solve for x
    x = 130,175,046.54/12,721.32
  6. Step 6: Final answer
    x = 10,232.83

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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.