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Finding the Fourth Proportional to 13,815.05, 19,064.77 and 7,527.42

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Solution

The fourth proportional to 13,815.05, 19,064.77 and 7,527.42 is: 10,387.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,815.05 : 19,064.77 = 7,527.42 : x
  2. Step 2: Convert to fraction form
    13,815.05/19,064.77 = 7,527.42/x
  3. Step 3: Cross multiply
    13,815.05x = 19,064.77 × 7,527.42
  4. Step 4: Simplify right side
    13,815.05x = 143,508,493.36
  5. Step 5: Solve for x
    x = 143,508,493.36/13,815.05
  6. Step 6: Final answer
    x = 10,387.84

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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.