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Finding the Fourth Proportional to 13,057.70, 17,994.66 and 12,817.76

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Solution

The fourth proportional to 13,057.70, 17,994.66 and 12,817.76 is: 17,664.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,057.70 : 17,994.66 = 12,817.76 : x
  2. Step 2: Convert to fraction form
    13,057.70/17,994.66 = 12,817.76/x
  3. Step 3: Cross multiply
    13,057.70x = 17,994.66 × 12,817.76
  4. Step 4: Simplify right side
    13,057.70x = 230,651,233.16
  5. Step 5: Solve for x
    x = 230,651,233.16/13,057.70
  6. Step 6: Final answer
    x = 17,664.00

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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.