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Finding the Fourth Proportional to 12,815.32, 17,685.13 and 7,226.32

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Solution

The fourth proportional to 12,815.32, 17,685.13 and 7,226.32 is: 9,972.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,815.32 : 17,685.13 = 7,226.32 : x
  2. Step 2: Convert to fraction form
    12,815.32/17,685.13 = 7,226.32/x
  3. Step 3: Cross multiply
    12,815.32x = 17,685.13 × 7,226.32
  4. Step 4: Simplify right side
    12,815.32x = 127,798,408.62
  5. Step 5: Solve for x
    x = 127,798,408.62/12,815.32
  6. Step 6: Final answer
    x = 9,972.32

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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.