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Finding the Fourth Proportional to 14,186.17, 19,576.76 and 7,812.62

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Solution

The fourth proportional to 14,186.17, 19,576.76 and 7,812.62 is: 10,781.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,186.17 : 19,576.76 = 7,812.62 : x
  2. Step 2: Convert to fraction form
    14,186.17/19,576.76 = 7,812.62/x
  3. Step 3: Cross multiply
    14,186.17x = 19,576.76 × 7,812.62
  4. Step 4: Simplify right side
    14,186.17x = 152,945,723.18
  5. Step 5: Solve for x
    x = 152,945,723.18/14,186.17
  6. Step 6: Final answer
    x = 10,781.33

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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.