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Finding the Fourth Proportional to 14,230.50, 19,636.59 and 8,261.00

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Solution

The fourth proportional to 14,230.50, 19,636.59 and 8,261.00 is: 11,399.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,230.50 : 19,636.59 = 8,261.00 : x
  2. Step 2: Convert to fraction form
    14,230.50/19,636.59 = 8,261.00/x
  3. Step 3: Cross multiply
    14,230.50x = 19,636.59 × 8,261.00
  4. Step 4: Simplify right side
    14,230.50x = 162,217,876.42
  5. Step 5: Solve for x
    x = 162,217,876.42/14,230.50
  6. Step 6: Final answer
    x = 11,399.31

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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.