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Finding the Fourth Proportional to 23,664.60, 35,502.30 and 8,082

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Solution

The fourth proportional to 23,664.60, 35,502.30 and 8,082 is: 12,124.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,664.60 : 35,502.30 = 8,082 : x
  2. Step 2: Convert to fraction form
    23,664.60/35,502.30 = 8,082/x
  3. Step 3: Cross multiply
    23,664.60x = 35,502.30 × 8,082
  4. Step 4: Simplify right side
    23,664.60x = 286,929,588.60
  5. Step 5: Solve for x
    x = 286,929,588.60/23,664.60
  6. Step 6: Final answer
    x = 12,124.84

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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.