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Finding the Fourth Proportional to 19,666.37, 27,140.24 and 10,714.70

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Solution

The fourth proportional to 19,666.37, 27,140.24 and 10,714.70 is: 14,786.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,666.37 : 27,140.24 = 10,714.70 : x
  2. Step 2: Convert to fraction form
    19,666.37/27,140.24 = 10,714.70/x
  3. Step 3: Cross multiply
    19,666.37x = 27,140.24 × 10,714.70
  4. Step 4: Simplify right side
    19,666.37x = 290,799,340.25
  5. Step 5: Solve for x
    x = 290,799,340.25/19,666.37
  6. Step 6: Final answer
    x = 14,786.63

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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.