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Finding the Fourth Proportional to 27,412.74, 41,101.29 and 10,774.40

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Solution

The fourth proportional to 27,412.74, 41,101.29 and 10,774.40 is: 16,154.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,412.74 : 41,101.29 = 10,774.40 : x
  2. Step 2: Convert to fraction form
    27,412.74/41,101.29 = 10,774.40/x
  3. Step 3: Cross multiply
    27,412.74x = 41,101.29 × 10,774.40
  4. Step 4: Simplify right side
    27,412.74x = 442,841,533.47
  5. Step 5: Solve for x
    x = 442,841,533.47/27,412.74
  6. Step 6: Final answer
    x = 16,154.59

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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.