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Finding the Fourth Proportional to 14,241.32, 19,651.64 and 9,768.90

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Solution

The fourth proportional to 14,241.32, 19,651.64 and 9,768.90 is: 13,480.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,241.32 : 19,651.64 = 9,768.90 : x
  2. Step 2: Convert to fraction form
    14,241.32/19,651.64 = 9,768.90/x
  3. Step 3: Cross multiply
    14,241.32x = 19,651.64 × 9,768.90
  4. Step 4: Simplify right side
    14,241.32x = 191,974,906.00
  5. Step 5: Solve for x
    x = 191,974,906.00/14,241.32
  6. Step 6: Final answer
    x = 13,480.13

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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.