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Finding the Fourth Proportional to 10,466.28, 14,426.12 and 10,189.28

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Solution

The fourth proportional to 10,466.28, 14,426.12 and 10,189.28 is: 14,044.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,466.28 : 14,426.12 = 10,189.28 : x
  2. Step 2: Convert to fraction form
    10,466.28/14,426.12 = 10,189.28/x
  3. Step 3: Cross multiply
    10,466.28x = 14,426.12 × 10,189.28
  4. Step 4: Simplify right side
    10,466.28x = 146,991,775.99
  5. Step 5: Solve for x
    x = 146,991,775.99/10,466.28
  6. Step 6: Final answer
    x = 14,044.32

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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.