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Finding the Fourth Proportional to 27,792.84, 41,668.46 and 10,259.40

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Solution

The fourth proportional to 27,792.84, 41,668.46 and 10,259.40 is: 15,381.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,792.84 : 41,668.46 = 10,259.40 : x
  2. Step 2: Convert to fraction form
    27,792.84/41,668.46 = 10,259.40/x
  3. Step 3: Cross multiply
    27,792.84x = 41,668.46 × 10,259.40
  4. Step 4: Simplify right side
    27,792.84x = 427,493,398.52
  5. Step 5: Solve for x
    x = 427,493,398.52/27,792.84
  6. Step 6: Final answer
    x = 15,381.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.