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Finding the Fourth Proportional to 16,234.92, 24,315.47 and 12,702.91

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Solution

The fourth proportional to 16,234.92, 24,315.47 and 12,702.91 is: 19,025.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,234.92 : 24,315.47 = 12,702.91 : x
  2. Step 2: Convert to fraction form
    16,234.92/24,315.47 = 12,702.91/x
  3. Step 3: Cross multiply
    16,234.92x = 24,315.47 × 12,702.91
  4. Step 4: Simplify right side
    16,234.92x = 308,877,227.02
  5. Step 5: Solve for x
    x = 308,877,227.02/16,234.92
  6. Step 6: Final answer
    x = 19,025.49

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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.