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Finding the Fourth Proportional to 21,716.48, 29,968.80 and 11,780.48

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Solution

The fourth proportional to 21,716.48, 29,968.80 and 11,780.48 is: 16,257.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,716.48 : 29,968.80 = 11,780.48 : x
  2. Step 2: Convert to fraction form
    21,716.48/29,968.80 = 11,780.48/x
  3. Step 3: Cross multiply
    21,716.48x = 29,968.80 × 11,780.48
  4. Step 4: Simplify right side
    21,716.48x = 353,046,849.02
  5. Step 5: Solve for x
    x = 353,046,849.02/21,716.48
  6. Step 6: Final answer
    x = 16,257.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.