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Finding the Fourth Proportional to 16,524.77, 24,787.44 and 6,002.25

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Solution

The fourth proportional to 16,524.77, 24,787.44 and 6,002.25 is: 9,003.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,524.77 : 24,787.44 = 6,002.25 : x
  2. Step 2: Convert to fraction form
    16,524.77/24,787.44 = 6,002.25/x
  3. Step 3: Cross multiply
    16,524.77x = 24,787.44 × 6,002.25
  4. Step 4: Simplify right side
    16,524.77x = 148,780,411.74
  5. Step 5: Solve for x
    x = 148,780,411.74/16,524.77
  6. Step 6: Final answer
    x = 9,003.48

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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.