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Finding the Fourth Proportional to 27,802.56, 41,630.40 and 19,492.80

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Solution

The fourth proportional to 27,802.56, 41,630.40 and 19,492.80 is: 29,187.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,802.56 : 41,630.40 = 19,492.80 : x
  2. Step 2: Convert to fraction form
    27,802.56/41,630.40 = 19,492.80/x
  3. Step 3: Cross multiply
    27,802.56x = 41,630.40 × 19,492.80
  4. Step 4: Simplify right side
    27,802.56x = 811,493,061.12
  5. Step 5: Solve for x
    x = 811,493,061.12/27,802.56
  6. Step 6: Final answer
    x = 29,187.71

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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.