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Finding the Fourth Proportional to 27,984, 38,617.92 and 15,408.72

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Solution

The fourth proportional to 27,984, 38,617.92 and 15,408.72 is: 21,264.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,984 : 38,617.92 = 15,408.72 : x
  2. Step 2: Convert to fraction form
    27,984/38,617.92 = 15,408.72/x
  3. Step 3: Cross multiply
    27,984x = 38,617.92 × 15,408.72
  4. Step 4: Simplify right side
    27,984x = 595,052,716.26
  5. Step 5: Solve for x
    x = 595,052,716.26/27,984
  6. Step 6: Final answer
    x = 21,264.03

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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.