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Finding the Fourth Proportional to 19,724, 27,219.12 and 10,892

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Solution

The fourth proportional to 19,724, 27,219.12 and 10,892 is: 15,030.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,724 : 27,219.12 = 10,892 : x
  2. Step 2: Convert to fraction form
    19,724/27,219.12 = 10,892/x
  3. Step 3: Cross multiply
    19,724x = 27,219.12 × 10,892
  4. Step 4: Simplify right side
    19,724x = 296,470,655.04
  5. Step 5: Solve for x
    x = 296,470,655.04/19,724
  6. Step 6: Final answer
    x = 15,030.96

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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.