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Finding the Fourth Proportional to 20,567.82, 28,384.11 and 12,614.43

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Solution

The fourth proportional to 20,567.82, 28,384.11 and 12,614.43 is: 17,408.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,567.82 : 28,384.11 = 12,614.43 : x
  2. Step 2: Convert to fraction form
    20,567.82/28,384.11 = 12,614.43/x
  3. Step 3: Cross multiply
    20,567.82x = 28,384.11 × 12,614.43
  4. Step 4: Simplify right side
    20,567.82x = 358,049,368.71
  5. Step 5: Solve for x
    x = 358,049,368.71/20,567.82
  6. Step 6: Final answer
    x = 17,408.23

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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.