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Finding the Fourth Proportional to 12,573.42, 18,842.25 and 9,260.46

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Solution

The fourth proportional to 12,573.42, 18,842.25 and 9,260.46 is: 13,877.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,573.42 : 18,842.25 = 9,260.46 : x
  2. Step 2: Convert to fraction form
    12,573.42/18,842.25 = 9,260.46/x
  3. Step 3: Cross multiply
    12,573.42x = 18,842.25 × 9,260.46
  4. Step 4: Simplify right side
    12,573.42x = 174,487,902.44
  5. Step 5: Solve for x
    x = 174,487,902.44/12,573.42
  6. Step 6: Final answer
    x = 13,877.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.