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Finding the Fourth Proportional to 17,861, 26,792.94 and 5,549

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Solution

The fourth proportional to 17,861, 26,792.94 and 5,549 is: 8,323.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,861 : 26,792.94 = 5,549 : x
  2. Step 2: Convert to fraction form
    17,861/26,792.94 = 5,549/x
  3. Step 3: Cross multiply
    17,861x = 26,792.94 × 5,549
  4. Step 4: Simplify right side
    17,861x = 148,674,024.06
  5. Step 5: Solve for x
    x = 148,674,024.06/17,861
  6. Step 6: Final answer
    x = 8,323.95

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Why These Related Problems?

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