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Finding the Fourth Proportional to 13,543.84, 18,690.42 and 7,576.17

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Solution

The fourth proportional to 13,543.84, 18,690.42 and 7,576.17 is: 10,455.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,543.84 : 18,690.42 = 7,576.17 : x
  2. Step 2: Convert to fraction form
    13,543.84/18,690.42 = 7,576.17/x
  3. Step 3: Cross multiply
    13,543.84x = 18,690.42 × 7,576.17
  4. Step 4: Simplify right side
    13,543.84x = 141,601,799.29
  5. Step 5: Solve for x
    x = 141,601,799.29/13,543.84
  6. Step 6: Final answer
    x = 10,455.07

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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.