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Finding the Fourth Proportional to 14,234.98, 19,638.23 and 8,184.16

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Solution

The fourth proportional to 14,234.98, 19,638.23 and 8,184.16 is: 11,290.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,234.98 : 19,638.23 = 8,184.16 : x
  2. Step 2: Convert to fraction form
    14,234.98/19,638.23 = 8,184.16/x
  3. Step 3: Cross multiply
    14,234.98x = 19,638.23 × 8,184.16
  4. Step 4: Simplify right side
    14,234.98x = 160,722,535.86
  5. Step 5: Solve for x
    x = 160,722,535.86/14,234.98
  6. Step 6: Final answer
    x = 11,290.68

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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.