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Finding the Fourth Proportional to 21,101.49, 31,656.30 and 6,310.08

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Solution

The fourth proportional to 21,101.49, 31,656.30 and 6,310.08 is: 9,466.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,101.49 : 31,656.30 = 6,310.08 : x
  2. Step 2: Convert to fraction form
    21,101.49/31,656.30 = 6,310.08/x
  3. Step 3: Cross multiply
    21,101.49x = 31,656.30 × 6,310.08
  4. Step 4: Simplify right side
    21,101.49x = 199,753,785.50
  5. Step 5: Solve for x
    x = 199,753,785.50/21,101.49
  6. Step 6: Final answer
    x = 9,466.34

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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.