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Finding the Fourth Proportional to 13,020.93, 19,527.53 and 5,524.38

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Solution

The fourth proportional to 13,020.93, 19,527.53 and 5,524.38 is: 8,284.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,020.93 : 19,527.53 = 5,524.38 : x
  2. Step 2: Convert to fraction form
    13,020.93/19,527.53 = 5,524.38/x
  3. Step 3: Cross multiply
    13,020.93x = 19,527.53 × 5,524.38
  4. Step 4: Simplify right side
    13,020.93x = 107,877,468.56
  5. Step 5: Solve for x
    x = 107,877,468.56/13,020.93
  6. Step 6: Final answer
    x = 8,284.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.