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Finding the Fourth Proportional to 21,951.84, 32,928.84 and 6,370.68

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Solution

The fourth proportional to 21,951.84, 32,928.84 and 6,370.68 is: 9,556.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,951.84 : 32,928.84 = 6,370.68 : x
  2. Step 2: Convert to fraction form
    21,951.84/32,928.84 = 6,370.68/x
  3. Step 3: Cross multiply
    21,951.84x = 32,928.84 × 6,370.68
  4. Step 4: Simplify right side
    21,951.84x = 209,779,102.41
  5. Step 5: Solve for x
    x = 209,779,102.41/21,951.84
  6. Step 6: Final answer
    x = 9,556.33

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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.