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Finding the Fourth Proportional to 21,930.76, 32,901 and 6,348.52

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Solution

The fourth proportional to 21,930.76, 32,901 and 6,348.52 is: 9,524.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,930.76 : 32,901 = 6,348.52 : x
  2. Step 2: Convert to fraction form
    21,930.76/32,901 = 6,348.52/x
  3. Step 3: Cross multiply
    21,930.76x = 32,901 × 6,348.52
  4. Step 4: Simplify right side
    21,930.76x = 208,872,656.52
  5. Step 5: Solve for x
    x = 208,872,656.52/21,930.76
  6. Step 6: Final answer
    x = 9,524.19

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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.