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Finding the Fourth Proportional to 23,549.76, 32,498.69 and 12,940.18

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Solution

The fourth proportional to 23,549.76, 32,498.69 and 12,940.18 is: 17,857.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,549.76 : 32,498.69 = 12,940.18 : x
  2. Step 2: Convert to fraction form
    23,549.76/32,498.69 = 12,940.18/x
  3. Step 3: Cross multiply
    23,549.76x = 32,498.69 × 12,940.18
  4. Step 4: Simplify right side
    23,549.76x = 420,538,752.42
  5. Step 5: Solve for x
    x = 420,538,752.42/23,549.76
  6. Step 6: Final answer
    x = 17,857.45

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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.