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Finding the Fourth Proportional to 21,929.67, 32,894.10 and 6,347.30

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Solution

The fourth proportional to 21,929.67, 32,894.10 and 6,347.30 is: 9,520.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,929.67 : 32,894.10 = 6,347.30 : x
  2. Step 2: Convert to fraction form
    21,929.67/32,894.10 = 6,347.30/x
  3. Step 3: Cross multiply
    21,929.67x = 32,894.10 × 6,347.30
  4. Step 4: Simplify right side
    21,929.67x = 208,788,556.46
  5. Step 5: Solve for x
    x = 208,788,556.46/21,929.67
  6. Step 6: Final answer
    x = 9,520.83

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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.