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Finding the Fourth Proportional to 23,714.46, 32,721.22 and 14,283.63

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Solution

The fourth proportional to 23,714.46, 32,721.22 and 14,283.63 is: 19,708.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,714.46 : 32,721.22 = 14,283.63 : x
  2. Step 2: Convert to fraction form
    23,714.46/32,721.22 = 14,283.63/x
  3. Step 3: Cross multiply
    23,714.46x = 32,721.22 × 14,283.63
  4. Step 4: Simplify right side
    23,714.46x = 467,377,799.63
  5. Step 5: Solve for x
    x = 467,377,799.63/23,714.46
  6. Step 6: Final answer
    x = 19,708.56

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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.