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Finding the Fourth Proportional to 17,892.80, 26,839.80 and 4,746.50

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Solution

The fourth proportional to 17,892.80, 26,839.80 and 4,746.50 is: 7,119.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,892.80 : 26,839.80 = 4,746.50 : x
  2. Step 2: Convert to fraction form
    17,892.80/26,839.80 = 4,746.50/x
  3. Step 3: Cross multiply
    17,892.80x = 26,839.80 × 4,746.50
  4. Step 4: Simplify right side
    17,892.80x = 127,395,110.70
  5. Step 5: Solve for x
    x = 127,395,110.70/17,892.80
  6. Step 6: Final answer
    x = 7,119.91

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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.