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Finding the Fourth Proportional to 21,852.60, 32,783.76 and 6,269

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Solution

The fourth proportional to 21,852.60, 32,783.76 and 6,269 is: 9,404.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,852.60 : 32,783.76 = 6,269 : x
  2. Step 2: Convert to fraction form
    21,852.60/32,783.76 = 6,269/x
  3. Step 3: Cross multiply
    21,852.60x = 32,783.76 × 6,269
  4. Step 4: Simplify right side
    21,852.60x = 205,521,391.44
  5. Step 5: Solve for x
    x = 205,521,391.44/21,852.60
  6. Step 6: Final answer
    x = 9,404.89

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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.