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Finding the Fourth Proportional to 19,802.28, 27,325.96 and 10,848

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Solution

The fourth proportional to 19,802.28, 27,325.96 and 10,848 is: 14,969.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,802.28 : 27,325.96 = 10,848 : x
  2. Step 2: Convert to fraction form
    19,802.28/27,325.96 = 10,848/x
  3. Step 3: Cross multiply
    19,802.28x = 27,325.96 × 10,848
  4. Step 4: Simplify right side
    19,802.28x = 296,432,014.08
  5. Step 5: Solve for x
    x = 296,432,014.08/19,802.28
  6. Step 6: Final answer
    x = 14,969.59

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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.