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Finding the Fourth Proportional to 19,709.48, 27,198.12 and 10,756.76

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Solution

The fourth proportional to 19,709.48, 27,198.12 and 10,756.76 is: 14,843.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,709.48 : 27,198.12 = 10,756.76 : x
  2. Step 2: Convert to fraction form
    19,709.48/27,198.12 = 10,756.76/x
  3. Step 3: Cross multiply
    19,709.48x = 27,198.12 × 10,756.76
  4. Step 4: Simplify right side
    19,709.48x = 292,563,649.29
  5. Step 5: Solve for x
    x = 292,563,649.29/19,709.48
  6. Step 6: Final answer
    x = 14,843.80

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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.