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Finding the Fourth Proportional to 14,944.50, 20,616.48 and 9,641.02

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Solution

The fourth proportional to 14,944.50, 20,616.48 and 9,641.02 is: 13,300.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,944.50 : 20,616.48 = 9,641.02 : x
  2. Step 2: Convert to fraction form
    14,944.50/20,616.48 = 9,641.02/x
  3. Step 3: Cross multiply
    14,944.50x = 20,616.48 × 9,641.02
  4. Step 4: Simplify right side
    14,944.50x = 198,763,896.01
  5. Step 5: Solve for x
    x = 198,763,896.01/14,944.50
  6. Step 6: Final answer
    x = 13,300.14

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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.