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Finding the Fourth Proportional to 14,573.82, 21,856.08 and 6,251.61

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Solution

The fourth proportional to 14,573.82, 21,856.08 and 6,251.61 is: 9,375.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,573.82 : 21,856.08 = 6,251.61 : x
  2. Step 2: Convert to fraction form
    14,573.82/21,856.08 = 6,251.61/x
  3. Step 3: Cross multiply
    14,573.82x = 21,856.08 × 6,251.61
  4. Step 4: Simplify right side
    14,573.82x = 136,635,574.12
  5. Step 5: Solve for x
    x = 136,635,574.12/14,573.82
  6. Step 6: Final answer
    x = 9,375.41

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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.