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Finding the Fourth Proportional to 27,856.49, 41,775.55 and 12,857.47

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Solution

The fourth proportional to 27,856.49, 41,775.55 and 12,857.47 is: 19,281.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,856.49 : 41,775.55 = 12,857.47 : x
  2. Step 2: Convert to fraction form
    27,856.49/41,775.55 = 12,857.47/x
  3. Step 3: Cross multiply
    27,856.49x = 41,775.55 × 12,857.47
  4. Step 4: Simplify right side
    27,856.49x = 537,127,744.28
  5. Step 5: Solve for x
    x = 537,127,744.28/27,856.49
  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.