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Finding the Fourth Proportional to 14,908, 20,573.08 and 8,284

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Solution

The fourth proportional to 14,908, 20,573.08 and 8,284 is: 11,431.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,908 : 20,573.08 = 8,284 : x
  2. Step 2: Convert to fraction form
    14,908/20,573.08 = 8,284/x
  3. Step 3: Cross multiply
    14,908x = 20,573.08 × 8,284
  4. Step 4: Simplify right side
    14,908x = 170,427,394.72
  5. Step 5: Solve for x
    x = 170,427,394.72/14,908
  6. Step 6: Final answer
    x = 11,431.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.