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Finding the Fourth Proportional to 14,513, 20,028.10 and 7,889

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Solution

The fourth proportional to 14,513, 20,028.10 and 7,889 is: 10,886.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,513 : 20,028.10 = 7,889 : x
  2. Step 2: Convert to fraction form
    14,513/20,028.10 = 7,889/x
  3. Step 3: Cross multiply
    14,513x = 20,028.10 × 7,889
  4. Step 4: Simplify right side
    14,513x = 158,001,680.90
  5. Step 5: Solve for x
    x = 158,001,680.90/14,513
  6. Step 6: Final answer
    x = 10,886.91

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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.