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Finding the Fourth Proportional to 21,532.04, 29,714 and 11,971.68

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Solution

The fourth proportional to 21,532.04, 29,714 and 11,971.68 is: 16,520.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,532.04 : 29,714 = 11,971.68 : x
  2. Step 2: Convert to fraction form
    21,532.04/29,714 = 11,971.68/x
  3. Step 3: Cross multiply
    21,532.04x = 29,714 × 11,971.68
  4. Step 4: Simplify right side
    21,532.04x = 355,726,499.52
  5. Step 5: Solve for x
    x = 355,726,499.52/21,532.04
  6. Step 6: Final answer
    x = 16,520.80

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