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Finding the Fourth Proportional to 27,634.42, 41,459.82 and 12,852.10

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Solution

The fourth proportional to 27,634.42, 41,459.82 and 12,852.10 is: 19,281.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,634.42 : 41,459.82 = 12,852.10 : x
  2. Step 2: Convert to fraction form
    27,634.42/41,459.82 = 12,852.10/x
  3. Step 3: Cross multiply
    27,634.42x = 41,459.82 × 12,852.10
  4. Step 4: Simplify right side
    27,634.42x = 532,845,752.62
  5. Step 5: Solve for x
    x = 532,845,752.62/27,634.42
  6. Step 6: Final answer
    x = 19,281.96

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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.