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Finding the Fourth Proportional to 20,071.92, 27,699.18 and 11,574

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Solution

The fourth proportional to 20,071.92, 27,699.18 and 11,574 is: 15,972.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,071.92 : 27,699.18 = 11,574 : x
  2. Step 2: Convert to fraction form
    20,071.92/27,699.18 = 11,574/x
  3. Step 3: Cross multiply
    20,071.92x = 27,699.18 × 11,574
  4. Step 4: Simplify right side
    20,071.92x = 320,590,309.32
  5. Step 5: Solve for x
    x = 320,590,309.32/20,071.92
  6. Step 6: Final answer
    x = 15,972.08

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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.