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Finding the Fourth Proportional to 19,820.99, 27,348.68 and 11,432.63

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Solution

The fourth proportional to 19,820.99, 27,348.68 and 11,432.63 is: 15,774.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,820.99 : 27,348.68 = 11,432.63 : x
  2. Step 2: Convert to fraction form
    19,820.99/27,348.68 = 11,432.63/x
  3. Step 3: Cross multiply
    19,820.99x = 27,348.68 × 11,432.63
  4. Step 4: Simplify right side
    19,820.99x = 312,667,231.27
  5. Step 5: Solve for x
    x = 312,667,231.27/19,820.99
  6. Step 6: Final answer
    x = 15,774.56

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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.