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Finding the Fourth Proportional to 12,560.82, 17,333.94 and 6,971.82

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Solution

The fourth proportional to 12,560.82, 17,333.94 and 6,971.82 is: 9,621.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,560.82 : 17,333.94 = 6,971.82 : x
  2. Step 2: Convert to fraction form
    12,560.82/17,333.94 = 6,971.82/x
  3. Step 3: Cross multiply
    12,560.82x = 17,333.94 × 6,971.82
  4. Step 4: Simplify right side
    12,560.82x = 120,849,109.57
  5. Step 5: Solve for x
    x = 120,849,109.57/12,560.82
  6. Step 6: Final answer
    x = 9,621.12

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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.