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Finding the Fourth Proportional to 27,840.30, 38,419.74 and 15,093.70

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Solution

The fourth proportional to 27,840.30, 38,419.74 and 15,093.70 is: 20,829.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,840.30 : 38,419.74 = 15,093.70 : x
  2. Step 2: Convert to fraction form
    27,840.30/38,419.74 = 15,093.70/x
  3. Step 3: Cross multiply
    27,840.30x = 38,419.74 × 15,093.70
  4. Step 4: Simplify right side
    27,840.30x = 579,896,029.64
  5. Step 5: Solve for x
    x = 579,896,029.64/27,840.30
  6. Step 6: Final answer
    x = 20,829.37

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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.