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Finding the Fourth Proportional to 27,873.60, 41,814.48 and 13,084.02

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Solution

The fourth proportional to 27,873.60, 41,814.48 and 13,084.02 is: 19,627.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,873.60 : 41,814.48 = 13,084.02 : x
  2. Step 2: Convert to fraction form
    27,873.60/41,814.48 = 13,084.02/x
  3. Step 3: Cross multiply
    27,873.60x = 41,814.48 × 13,084.02
  4. Step 4: Simplify right side
    27,873.60x = 547,101,492.61
  5. Step 5: Solve for x
    x = 547,101,492.61/27,873.60
  6. Step 6: Final answer
    x = 19,627.95

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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.