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Finding the Fourth Proportional to 27,408.57, 37,823.86 and 14,833.32

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Solution

The fourth proportional to 27,408.57, 37,823.86 and 14,833.32 is: 20,470.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,408.57 : 37,823.86 = 14,833.32 : x
  2. Step 2: Convert to fraction form
    27,408.57/37,823.86 = 14,833.32/x
  3. Step 3: Cross multiply
    27,408.57x = 37,823.86 × 14,833.32
  4. Step 4: Simplify right side
    27,408.57x = 561,053,419.02
  5. Step 5: Solve for x
    x = 561,053,419.02/27,408.57
  6. Step 6: Final answer
    x = 20,470.00

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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.