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Finding the Fourth Proportional to 13,847.19, 19,103.34 and 8,814.16

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Solution

The fourth proportional to 13,847.19, 19,103.34 and 8,814.16 is: 12,159.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,847.19 : 19,103.34 = 8,814.16 : x
  2. Step 2: Convert to fraction form
    13,847.19/19,103.34 = 8,814.16/x
  3. Step 3: Cross multiply
    13,847.19x = 19,103.34 × 8,814.16
  4. Step 4: Simplify right side
    13,847.19x = 168,379,895.29
  5. Step 5: Solve for x
    x = 168,379,895.29/13,847.19
  6. Step 6: Final answer
    x = 12,159.86

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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.