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Finding the Fourth Proportional to 21,714.69, 29,955.89 and 12,640.05

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Solution

The fourth proportional to 21,714.69, 29,955.89 and 12,640.05 is: 17,437.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,714.69 : 29,955.89 = 12,640.05 : x
  2. Step 2: Convert to fraction form
    21,714.69/29,955.89 = 12,640.05/x
  3. Step 3: Cross multiply
    21,714.69x = 29,955.89 × 12,640.05
  4. Step 4: Simplify right side
    21,714.69x = 378,643,884.19
  5. Step 5: Solve for x
    x = 378,643,884.19/21,714.69
  6. Step 6: Final answer
    x = 17,437.22

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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.