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Finding the Fourth Proportional to 23,330.16, 32,194.92 and 12,720

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Solution

The fourth proportional to 23,330.16, 32,194.92 and 12,720 is: 17,553.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,330.16 : 32,194.92 = 12,720 : x
  2. Step 2: Convert to fraction form
    23,330.16/32,194.92 = 12,720/x
  3. Step 3: Cross multiply
    23,330.16x = 32,194.92 × 12,720
  4. Step 4: Simplify right side
    23,330.16x = 409,519,382.40
  5. Step 5: Solve for x
    x = 409,519,382.40/23,330.16
  6. Step 6: Final answer
    x = 17,553.22

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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.