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Finding the Fourth Proportional to 12,466.90, 18,716.75 and 9,711.28

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Solution

The fourth proportional to 12,466.90, 18,716.75 and 9,711.28 is: 14,579.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,466.90 : 18,716.75 = 9,711.28 : x
  2. Step 2: Convert to fraction form
    12,466.90/18,716.75 = 9,711.28/x
  3. Step 3: Cross multiply
    12,466.90x = 18,716.75 × 9,711.28
  4. Step 4: Simplify right side
    12,466.90x = 181,763,599.94
  5. Step 5: Solve for x
    x = 181,763,599.94/12,466.90
  6. Step 6: Final answer
    x = 14,579.70

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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.