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Finding the Fourth Proportional to 13,634.42, 18,814.65 and 7,666.01

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Solution

The fourth proportional to 13,634.42, 18,814.65 and 7,666.01 is: 10,578.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,634.42 : 18,814.65 = 7,666.01 : x
  2. Step 2: Convert to fraction form
    13,634.42/18,814.65 = 7,666.01/x
  3. Step 3: Cross multiply
    13,634.42x = 18,814.65 × 7,666.01
  4. Step 4: Simplify right side
    13,634.42x = 144,233,295.05
  5. Step 5: Solve for x
    x = 144,233,295.05/13,634.42
  6. Step 6: Final answer
    x = 10,578.62

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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.