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Finding the Fourth Proportional to 21,532.14, 29,714.70 and 11,841.99

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Solution

The fourth proportional to 21,532.14, 29,714.70 and 11,841.99 is: 16,342.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,532.14 : 29,714.70 = 11,841.99 : x
  2. Step 2: Convert to fraction form
    21,532.14/29,714.70 = 11,841.99/x
  3. Step 3: Cross multiply
    21,532.14x = 29,714.70 × 11,841.99
  4. Step 4: Simplify right side
    21,532.14x = 351,881,180.25
  5. Step 5: Solve for x
    x = 351,881,180.25/21,532.14
  6. Step 6: Final answer
    x = 16,342.14

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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.