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Finding the Fourth Proportional to 14,884.21, 20,534.07 and 9,850.87

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Solution

The fourth proportional to 14,884.21, 20,534.07 and 9,850.87 is: 13,590.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,884.21 : 20,534.07 = 9,850.87 : x
  2. Step 2: Convert to fraction form
    14,884.21/20,534.07 = 9,850.87/x
  3. Step 3: Cross multiply
    14,884.21x = 20,534.07 × 9,850.87
  4. Step 4: Simplify right side
    14,884.21x = 202,278,454.14
  5. Step 5: Solve for x
    x = 202,278,454.14/14,884.21
  6. Step 6: Final answer
    x = 13,590.14

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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.