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Finding the Fourth Proportional to 23,523.98, 32,461.63 and 12,913.54

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Solution

The fourth proportional to 23,523.98, 32,461.63 and 12,913.54 is: 17,819.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,523.98 : 32,461.63 = 12,913.54 : x
  2. Step 2: Convert to fraction form
    23,523.98/32,461.63 = 12,913.54/x
  3. Step 3: Cross multiply
    23,523.98x = 32,461.63 × 12,913.54
  4. Step 4: Simplify right side
    23,523.98x = 419,194,444.03
  5. Step 5: Solve for x
    x = 419,194,444.03/23,523.98
  6. Step 6: Final answer
    x = 17,819.88

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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.