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Finding the Fourth Proportional to 19,802.70, 27,327.65 and 10,850.76

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Solution

The fourth proportional to 19,802.70, 27,327.65 and 10,850.76 is: 14,974.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,802.70 : 27,327.65 = 10,850.76 : x
  2. Step 2: Convert to fraction form
    19,802.70/27,327.65 = 10,850.76/x
  3. Step 3: Cross multiply
    19,802.70x = 27,327.65 × 10,850.76
  4. Step 4: Simplify right side
    19,802.70x = 296,525,717.26
  5. Step 5: Solve for x
    x = 296,525,717.26/19,802.70
  6. Step 6: Final answer
    x = 14,974.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.