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Finding the Fourth Proportional to 13,665.30, 20,502.90 and 4,781.94

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Solution

The fourth proportional to 13,665.30, 20,502.90 and 4,781.94 is: 7,174.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,665.30 : 20,502.90 = 4,781.94 : x
  2. Step 2: Convert to fraction form
    13,665.30/20,502.90 = 4,781.94/x
  3. Step 3: Cross multiply
    13,665.30x = 20,502.90 × 4,781.94
  4. Step 4: Simplify right side
    13,665.30x = 98,043,637.63
  5. Step 5: Solve for x
    x = 98,043,637.63/13,665.30
  6. Step 6: Final answer
    x = 7,174.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.