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Finding the Fourth Proportional to 14,104.58, 19,463.64 and 8,138.16

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Solution

The fourth proportional to 14,104.58, 19,463.64 and 8,138.16 is: 11,230.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,104.58 : 19,463.64 = 8,138.16 : x
  2. Step 2: Convert to fraction form
    14,104.58/19,463.64 = 8,138.16/x
  3. Step 3: Cross multiply
    14,104.58x = 19,463.64 × 8,138.16
  4. Step 4: Simplify right side
    14,104.58x = 158,398,216.50
  5. Step 5: Solve for x
    x = 158,398,216.50/14,104.58
  6. Step 6: Final answer
    x = 11,230.27

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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.