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Finding the Fourth Proportional to 19,795.68, 27,320.40 and 11,412

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Solution

The fourth proportional to 19,795.68, 27,320.40 and 11,412 is: 15,749.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,795.68 : 27,320.40 = 11,412 : x
  2. Step 2: Convert to fraction form
    19,795.68/27,320.40 = 11,412/x
  3. Step 3: Cross multiply
    19,795.68x = 27,320.40 × 11,412
  4. Step 4: Simplify right side
    19,795.68x = 311,780,404.80
  5. Step 5: Solve for x
    x = 311,780,404.80/19,795.68
  6. Step 6: Final answer
    x = 15,749.92

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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.