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Finding the Fourth Proportional to 19,684.82, 29,527.50 and 10,975.08

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Solution

The fourth proportional to 19,684.82, 29,527.50 and 10,975.08 is: 16,462.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,684.82 : 29,527.50 = 10,975.08 : x
  2. Step 2: Convert to fraction form
    19,684.82/29,527.50 = 10,975.08/x
  3. Step 3: Cross multiply
    19,684.82x = 29,527.50 × 10,975.08
  4. Step 4: Simplify right side
    19,684.82x = 324,066,674.70
  5. Step 5: Solve for x
    x = 324,066,674.70/19,684.82
  6. Step 6: Final answer
    x = 16,462.77

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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.