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Finding the Fourth Proportional to 18,024.84, 27,032.92 and 4,877.32

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Solution

The fourth proportional to 18,024.84, 27,032.92 and 4,877.32 is: 7,314.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,024.84 : 27,032.92 = 4,877.32 : x
  2. Step 2: Convert to fraction form
    18,024.84/27,032.92 = 4,877.32/x
  3. Step 3: Cross multiply
    18,024.84x = 27,032.92 × 4,877.32
  4. Step 4: Simplify right side
    18,024.84x = 131,848,201.37
  5. Step 5: Solve for x
    x = 131,848,201.37/18,024.84
  6. Step 6: Final answer
    x = 7,314.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.