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Finding the Fourth Proportional to 13,634.05, 18,814.51 and 7,666.06

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Solution

The fourth proportional to 13,634.05, 18,814.51 and 7,666.06 is: 10,578.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,634.05 : 18,814.51 = 7,666.06 : x
  2. Step 2: Convert to fraction form
    13,634.05/18,814.51 = 7,666.06/x
  3. Step 3: Cross multiply
    13,634.05x = 18,814.51 × 7,666.06
  4. Step 4: Simplify right side
    13,634.05x = 144,233,124.20
  5. Step 5: Solve for x
    x = 144,233,124.20/13,634.05
  6. Step 6: Final answer
    x = 10,578.89

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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.