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Finding the Fourth Proportional to 19,792.70, 27,312.92 and 10,838.48

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Solution

The fourth proportional to 19,792.70, 27,312.92 and 10,838.48 is: 14,956.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,792.70 : 27,312.92 = 10,838.48 : x
  2. Step 2: Convert to fraction form
    19,792.70/27,312.92 = 10,838.48/x
  3. Step 3: Cross multiply
    19,792.70x = 27,312.92 × 10,838.48
  4. Step 4: Simplify right side
    19,792.70x = 296,030,387.05
  5. Step 5: Solve for x
    x = 296,030,387.05/19,792.70
  6. Step 6: Final answer
    x = 14,956.54

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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.