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Finding the Fourth Proportional to 13,812.27, 19,060.97 and 7,524.51

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Solution

The fourth proportional to 13,812.27, 19,060.97 and 7,524.51 is: 10,383.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,812.27 : 19,060.97 = 7,524.51 : x
  2. Step 2: Convert to fraction form
    13,812.27/19,060.97 = 7,524.51/x
  3. Step 3: Cross multiply
    13,812.27x = 19,060.97 × 7,524.51
  4. Step 4: Simplify right side
    13,812.27x = 143,424,421.75
  5. Step 5: Solve for x
    x = 143,424,421.75/13,812.27
  6. Step 6: Final answer
    x = 10,383.84

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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.