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Finding the Fourth Proportional to 20,763.42, 28,649.14 and 13,207

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Solution

The fourth proportional to 20,763.42, 28,649.14 and 13,207 is: 18,222.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,763.42 : 28,649.14 = 13,207 : x
  2. Step 2: Convert to fraction form
    20,763.42/28,649.14 = 13,207/x
  3. Step 3: Cross multiply
    20,763.42x = 28,649.14 × 13,207
  4. Step 4: Simplify right side
    20,763.42x = 378,369,191.98
  5. Step 5: Solve for x
    x = 378,369,191.98/20,763.42
  6. Step 6: Final answer
    x = 18,222.87

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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.