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Finding the Fourth Proportional to 20,577.38, 28,396.98 and 11,146.14

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Solution

The fourth proportional to 20,577.38, 28,396.98 and 11,146.14 is: 15,381.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,577.38 : 28,396.98 = 11,146.14 : x
  2. Step 2: Convert to fraction form
    20,577.38/28,396.98 = 11,146.14/x
  3. Step 3: Cross multiply
    20,577.38x = 28,396.98 × 11,146.14
  4. Step 4: Simplify right side
    20,577.38x = 316,516,714.66
  5. Step 5: Solve for x
    x = 316,516,714.66/20,577.38
  6. Step 6: Final answer
    x = 15,381.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.