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Finding the Fourth Proportional to 19,721.61, 27,216 and 10,769.22

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Solution

The fourth proportional to 19,721.61, 27,216 and 10,769.22 is: 14,861.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,721.61 : 27,216 = 10,769.22 : x
  2. Step 2: Convert to fraction form
    19,721.61/27,216 = 10,769.22/x
  3. Step 3: Cross multiply
    19,721.61x = 27,216 × 10,769.22
  4. Step 4: Simplify right side
    19,721.61x = 293,095,091.52
  5. Step 5: Solve for x
    x = 293,095,091.52/19,721.61
  6. Step 6: Final answer
    x = 14,861.62

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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.