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Finding the Fourth Proportional to 12,482.96, 17,226.54 and 6,817.82

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Solution

The fourth proportional to 12,482.96, 17,226.54 and 6,817.82 is: 9,408.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,482.96 : 17,226.54 = 6,817.82 : x
  2. Step 2: Convert to fraction form
    12,482.96/17,226.54 = 6,817.82/x
  3. Step 3: Cross multiply
    12,482.96x = 17,226.54 × 6,817.82
  4. Step 4: Simplify right side
    12,482.96x = 117,447,362.81
  5. Step 5: Solve for x
    x = 117,447,362.81/12,482.96
  6. Step 6: Final answer
    x = 9,408.62

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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.