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Finding the Fourth Proportional to 14,570.28, 21,850.83 and 9,666

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Solution

The fourth proportional to 14,570.28, 21,850.83 and 9,666 is: 14,495.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,570.28 : 21,850.83 = 9,666 : x
  2. Step 2: Convert to fraction form
    14,570.28/21,850.83 = 9,666/x
  3. Step 3: Cross multiply
    14,570.28x = 21,850.83 × 9,666
  4. Step 4: Simplify right side
    14,570.28x = 211,210,122.78
  5. Step 5: Solve for x
    x = 211,210,122.78/14,570.28
  6. Step 6: Final answer
    x = 14,495.95

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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.