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Finding the Fourth Proportional to 14,605.25, 21,911.54 and 4,217.00

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Solution

The fourth proportional to 14,605.25, 21,911.54 and 4,217.00 is: 6,326.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,605.25 : 21,911.54 = 4,217.00 : x
  2. Step 2: Convert to fraction form
    14,605.25/21,911.54 = 4,217.00/x
  3. Step 3: Cross multiply
    14,605.25x = 21,911.54 × 4,217.00
  4. Step 4: Simplify right side
    14,605.25x = 92,400,833.54
  5. Step 5: Solve for x
    x = 92,400,833.54/14,605.25
  6. Step 6: Final answer
    x = 6,326.55

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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.