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Finding the Fourth Proportional to 17,867.79, 26,793 and 5,385.50

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Solution

The fourth proportional to 17,867.79, 26,793 and 5,385.50 is: 8,075.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,867.79 : 26,793 = 5,385.50 : x
  2. Step 2: Convert to fraction form
    17,867.79/26,793 = 5,385.50/x
  3. Step 3: Cross multiply
    17,867.79x = 26,793 × 5,385.50
  4. Step 4: Simplify right side
    17,867.79x = 144,293,567.54
  5. Step 5: Solve for x
    x = 144,293,567.54/17,867.79
  6. Step 6: Final answer
    x = 8,075.62

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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.