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Finding the Fourth Proportional to 14,965.28, 20,636.75 and 9,862.13

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Solution

The fourth proportional to 14,965.28, 20,636.75 and 9,862.13 is: 13,599.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,965.28 : 20,636.75 = 9,862.13 : x
  2. Step 2: Convert to fraction form
    14,965.28/20,636.75 = 9,862.13/x
  3. Step 3: Cross multiply
    14,965.28x = 20,636.75 × 9,862.13
  4. Step 4: Simplify right side
    14,965.28x = 203,522,311.28
  5. Step 5: Solve for x
    x = 203,522,311.28/14,965.28
  6. Step 6: Final answer
    x = 13,599.63

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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.