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Finding the Fourth Proportional to 14,537.97, 21,806.88 and 5,178.35

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Solution

The fourth proportional to 14,537.97, 21,806.88 and 5,178.35 is: 7,767.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,537.97 : 21,806.88 = 5,178.35 : x
  2. Step 2: Convert to fraction form
    14,537.97/21,806.88 = 5,178.35/x
  3. Step 3: Cross multiply
    14,537.97x = 21,806.88 × 5,178.35
  4. Step 4: Simplify right side
    14,537.97x = 112,923,657.05
  5. Step 5: Solve for x
    x = 112,923,657.05/14,537.97
  6. Step 6: Final answer
    x = 7,767.50

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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.