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Finding the Fourth Proportional to 16,524.95, 24,787.62 and 4,838.40

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Solution

The fourth proportional to 16,524.95, 24,787.62 and 4,838.40 is: 7,257.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,524.95 : 24,787.62 = 4,838.40 : x
  2. Step 2: Convert to fraction form
    16,524.95/24,787.62 = 4,838.40/x
  3. Step 3: Cross multiply
    16,524.95x = 24,787.62 × 4,838.40
  4. Step 4: Simplify right side
    16,524.95x = 119,932,420.61
  5. Step 5: Solve for x
    x = 119,932,420.61/16,524.95
  6. Step 6: Final answer
    x = 7,257.66

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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.