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Finding the Fourth Proportional to 41,009.84, 61,514.79 and 11,428.46

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Solution

The fourth proportional to 41,009.84, 61,514.79 and 11,428.46 is: 17,142.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,009.84 : 61,514.79 = 11,428.46 : x
  2. Step 2: Convert to fraction form
    41,009.84/61,514.79 = 11,428.46/x
  3. Step 3: Cross multiply
    41,009.84x = 61,514.79 × 11,428.46
  4. Step 4: Simplify right side
    41,009.84x = 703,019,261.46
  5. Step 5: Solve for x
    x = 703,019,261.46/41,009.84
  6. Step 6: Final answer
    x = 17,142.70

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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.