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Finding the Fourth Proportional to 14,466.25, 21,677.05 and 9,767.85

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Solution

The fourth proportional to 14,466.25, 21,677.05 and 9,767.85 is: 14,636.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,466.25 : 21,677.05 = 9,767.85 : x
  2. Step 2: Convert to fraction form
    14,466.25/21,677.05 = 9,767.85/x
  3. Step 3: Cross multiply
    14,466.25x = 21,677.05 × 9,767.85
  4. Step 4: Simplify right side
    14,466.25x = 211,738,103.76
  5. Step 5: Solve for x
    x = 211,738,103.76/14,466.25
  6. Step 6: Final answer
    x = 14,636.69

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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.