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Finding the Fourth Proportional to 35,142.76, 52,714.50 and 11,769.40

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Solution

The fourth proportional to 35,142.76, 52,714.50 and 11,769.40 is: 17,654.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,142.76 : 52,714.50 = 11,769.40 : x
  2. Step 2: Convert to fraction form
    35,142.76/52,714.50 = 11,769.40/x
  3. Step 3: Cross multiply
    35,142.76x = 52,714.50 × 11,769.40
  4. Step 4: Simplify right side
    35,142.76x = 620,418,036.30
  5. Step 5: Solve for x
    x = 620,418,036.30/35,142.76
  6. Step 6: Final answer
    x = 17,654.22

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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.