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Finding the Fourth Proportional to 23,549.70, 32,498.58 and 12,940.02

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Solution

The fourth proportional to 23,549.70, 32,498.58 and 12,940.02 is: 17,857.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,549.70 : 32,498.58 = 12,940.02 : x
  2. Step 2: Convert to fraction form
    23,549.70/32,498.58 = 12,940.02/x
  3. Step 3: Cross multiply
    23,549.70x = 32,498.58 × 12,940.02
  4. Step 4: Simplify right side
    23,549.70x = 420,532,323.70
  5. Step 5: Solve for x
    x = 420,532,323.70/23,549.70
  6. Step 6: Final answer
    x = 17,857.22

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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.