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Finding the Fourth Proportional to 23,719.80, 32,733.90 and 12,965.10

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Solution

The fourth proportional to 23,719.80, 32,733.90 and 12,965.10 is: 17,892.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,719.80 : 32,733.90 = 12,965.10 : x
  2. Step 2: Convert to fraction form
    23,719.80/32,733.90 = 12,965.10/x
  3. Step 3: Cross multiply
    23,719.80x = 32,733.90 × 12,965.10
  4. Step 4: Simplify right side
    23,719.80x = 424,398,286.89
  5. Step 5: Solve for x
    x = 424,398,286.89/23,719.80
  6. Step 6: Final answer
    x = 17,892.15

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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.