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Finding the Fourth Proportional to 19,648.68, 29,469.77 and 6,321

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Solution

The fourth proportional to 19,648.68, 29,469.77 and 6,321 is: 9,480.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,648.68 : 29,469.77 = 6,321 : x
  2. Step 2: Convert to fraction form
    19,648.68/29,469.77 = 6,321/x
  3. Step 3: Cross multiply
    19,648.68x = 29,469.77 × 6,321
  4. Step 4: Simplify right side
    19,648.68x = 186,278,416.17
  5. Step 5: Solve for x
    x = 186,278,416.17/19,648.68
  6. Step 6: Final answer
    x = 9,480.45

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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.